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Finding the Third Proportional to 9,154.69 and 20,061.56

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Solution

The third proportional to 9,154.69 and 20,061.56 is: 43,962.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.69 : 20,061.56 = 20,061.56 : x
  2. Step 2: Convert to fraction form
    9,154.69/20,061.56 = 20,061.56/x
  3. Step 3: Cross multiply
    9,154.69x = 20,061.56 × 20,061.56
  4. Step 4: Simplify right side
    9,154.69x = 402,466,289.94
  5. Step 5: Solve for x
    x = 402,466,289.94/9,154.69
  6. Step 6: Final answer
    x = 43,962.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.