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Finding the Third Proportional to 10,537 and 24,331

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Solution

The third proportional to 10,537 and 24,331 is: 56,182.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537 : 24,331 = 24,331 : x
  2. Step 2: Convert to fraction form
    10,537/24,331 = 24,331/x
  3. Step 3: Cross multiply
    10,537x = 24,331 × 24,331
  4. Step 4: Simplify right side
    10,537x = 591,997,561
  5. Step 5: Solve for x
    x = 591,997,561/10,537
  6. Step 6: Final answer
    x = 56,182.74

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.