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Finding the Third Proportional to 10,737 and 24,291

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Solution

The third proportional to 10,737 and 24,291 is: 54,955.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,737 : 24,291 = 24,291 : x
  2. Step 2: Convert to fraction form
    10,737/24,291 = 24,291/x
  3. Step 3: Cross multiply
    10,737x = 24,291 × 24,291
  4. Step 4: Simplify right side
    10,737x = 590,052,681
  5. Step 5: Solve for x
    x = 590,052,681/10,737
  6. Step 6: Final answer
    x = 54,955.08

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.