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Finding the Third Proportional to 42,991.13 and 69,646.13

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Solution

The third proportional to 42,991.13 and 69,646.13 is: 112,827.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,991.13 : 69,646.13 = 69,646.13 : x
  2. Step 2: Convert to fraction form
    42,991.13/69,646.13 = 69,646.13/x
  3. Step 3: Cross multiply
    42,991.13x = 69,646.13 × 69,646.13
  4. Step 4: Simplify right side
    42,991.13x = 4,850,582,727.52
  5. Step 5: Solve for x
    x = 4,850,582,727.52/42,991.13
  6. Step 6: Final answer
    x = 112,827.54

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.