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Finding the Third Proportional to 25,102 and 53,424

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Solution

The third proportional to 25,102 and 53,424 is: 113,701.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,102 : 53,424 = 53,424 : x
  2. Step 2: Convert to fraction form
    25,102/53,424 = 53,424/x
  3. Step 3: Cross multiply
    25,102x = 53,424 × 53,424
  4. Step 4: Simplify right side
    25,102x = 2,854,123,776
  5. Step 5: Solve for x
    x = 2,854,123,776/25,102
  6. Step 6: Final answer
    x = 113,701.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.