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Finding the Third Proportional to 24,627 and 52,710

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Solution

The third proportional to 24,627 and 52,710 is: 112,816.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,627 : 52,710 = 52,710 : x
  2. Step 2: Convert to fraction form
    24,627/52,710 = 52,710/x
  3. Step 3: Cross multiply
    24,627x = 52,710 × 52,710
  4. Step 4: Simplify right side
    24,627x = 2,778,344,100
  5. Step 5: Solve for x
    x = 2,778,344,100/24,627
  6. Step 6: Final answer
    x = 112,816.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.