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Finding the Third Proportional to 24,412 and 53,035

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Solution

The third proportional to 24,412 and 53,035 is: 115,218.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,412 : 53,035 = 53,035 : x
  2. Step 2: Convert to fraction form
    24,412/53,035 = 53,035/x
  3. Step 3: Cross multiply
    24,412x = 53,035 × 53,035
  4. Step 4: Simplify right side
    24,412x = 2,812,711,225
  5. Step 5: Solve for x
    x = 2,812,711,225/24,412
  6. Step 6: Final answer
    x = 115,218.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.