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Finding the Third Proportional to 24,802 and 53,524

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Solution

The third proportional to 24,802 and 53,524 is: 115,507.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,802 : 53,524 = 53,524 : x
  2. Step 2: Convert to fraction form
    24,802/53,524 = 53,524/x
  3. Step 3: Cross multiply
    24,802x = 53,524 × 53,524
  4. Step 4: Simplify right side
    24,802x = 2,864,818,576
  5. Step 5: Solve for x
    x = 2,864,818,576/24,802
  6. Step 6: Final answer
    x = 115,507.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.