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Finding the Third Proportional to 24,407 and 53,107

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Solution

The third proportional to 24,407 and 53,107 is: 115,555.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,407 : 53,107 = 53,107 : x
  2. Step 2: Convert to fraction form
    24,407/53,107 = 53,107/x
  3. Step 3: Cross multiply
    24,407x = 53,107 × 53,107
  4. Step 4: Simplify right side
    24,407x = 2,820,353,449
  5. Step 5: Solve for x
    x = 2,820,353,449/24,407
  6. Step 6: Final answer
    x = 115,555.11

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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.