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Finding the Third Proportional to 9,165.66 and 19,124.86

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Solution

The third proportional to 9,165.66 and 19,124.86 is: 39,905.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.66 : 19,124.86 = 19,124.86 : x
  2. Step 2: Convert to fraction form
    9,165.66/19,124.86 = 19,124.86/x
  3. Step 3: Cross multiply
    9,165.66x = 19,124.86 × 19,124.86
  4. Step 4: Simplify right side
    9,165.66x = 365,760,246.11
  5. Step 5: Solve for x
    x = 365,760,246.11/9,165.66
  6. Step 6: Final answer
    x = 39,905.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.