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Finding the Third Proportional to 24,627 and 53,707

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Solution

The third proportional to 24,627 and 53,707 is: 117,125.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,627 : 53,707 = 53,707 : x
  2. Step 2: Convert to fraction form
    24,627/53,707 = 53,707/x
  3. Step 3: Cross multiply
    24,627x = 53,707 × 53,707
  4. Step 4: Simplify right side
    24,627x = 2,884,441,849
  5. Step 5: Solve for x
    x = 2,884,441,849/24,627
  6. Step 6: Final answer
    x = 117,125.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.