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Finding the Third Proportional to 10,534 and 24,391

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Solution

The third proportional to 10,534 and 24,391 is: 56,476.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534 : 24,391 = 24,391 : x
  2. Step 2: Convert to fraction form
    10,534/24,391 = 24,391/x
  3. Step 3: Cross multiply
    10,534x = 24,391 × 24,391
  4. Step 4: Simplify right side
    10,534x = 594,920,881
  5. Step 5: Solve for x
    x = 594,920,881/10,534
  6. Step 6: Final answer
    x = 56,476.26

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.