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Finding the Third Proportional to 9,469 and 15,127.50

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Solution

The third proportional to 9,469 and 15,127.50 is: 24,167.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469 : 15,127.50 = 15,127.50 : x
  2. Step 2: Convert to fraction form
    9,469/15,127.50 = 15,127.50/x
  3. Step 3: Cross multiply
    9,469x = 15,127.50 × 15,127.50
  4. Step 4: Simplify right side
    9,469x = 228,841,256.25
  5. Step 5: Solve for x
    x = 228,841,256.25/9,469
  6. Step 6: Final answer
    x = 24,167.42

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.