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Finding the Third Proportional to 10,401.75 and 15,600.38

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Solution

The third proportional to 10,401.75 and 15,600.38 is: 23,397.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,401.75 : 15,600.38 = 15,600.38 : x
  2. Step 2: Convert to fraction form
    10,401.75/15,600.38 = 15,600.38/x
  3. Step 3: Cross multiply
    10,401.75x = 15,600.38 × 15,600.38
  4. Step 4: Simplify right side
    10,401.75x = 243,371,700.14
  5. Step 5: Solve for x
    x = 243,371,700.14/10,401.75
  6. Step 6: Final answer
    x = 23,397.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.