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Finding the Third Proportional to 10,537 and 24,392

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Solution

The third proportional to 10,537 and 24,392 is: 56,464.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537 : 24,392 = 24,392 : x
  2. Step 2: Convert to fraction form
    10,537/24,392 = 24,392/x
  3. Step 3: Cross multiply
    10,537x = 24,392 × 24,392
  4. Step 4: Simplify right side
    10,537x = 594,969,664
  5. Step 5: Solve for x
    x = 594,969,664/10,537
  6. Step 6: Final answer
    x = 56,464.81

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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.