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Finding the Third Proportional to 47,998.69 and 66,165.19

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Solution

The third proportional to 47,998.69 and 66,165.19 is: 91,207.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,998.69 : 66,165.19 = 66,165.19 : x
  2. Step 2: Convert to fraction form
    47,998.69/66,165.19 = 66,165.19/x
  3. Step 3: Cross multiply
    47,998.69x = 66,165.19 × 66,165.19
  4. Step 4: Simplify right side
    47,998.69x = 4,377,832,036.91
  5. Step 5: Solve for x
    x = 4,377,832,036.91/47,998.69
  6. Step 6: Final answer
    x = 91,207.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.