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Finding the Third Proportional to 15,401.25 and 22,024.13

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Solution

The third proportional to 15,401.25 and 22,024.13 is: 31,494.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,401.25 : 22,024.13 = 22,024.13 : x
  2. Step 2: Convert to fraction form
    15,401.25/22,024.13 = 22,024.13/x
  3. Step 3: Cross multiply
    15,401.25x = 22,024.13 × 22,024.13
  4. Step 4: Simplify right side
    15,401.25x = 485,062,082.02
  5. Step 5: Solve for x
    x = 485,062,082.02/15,401.25
  6. Step 6: Final answer
    x = 31,494.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.