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Finding the Third Proportional to 24,913 and 53,762

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Solution

The third proportional to 24,913 and 53,762 is: 116,017.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,913 : 53,762 = 53,762 : x
  2. Step 2: Convert to fraction form
    24,913/53,762 = 53,762/x
  3. Step 3: Cross multiply
    24,913x = 53,762 × 53,762
  4. Step 4: Simplify right side
    24,913x = 2,890,352,644
  5. Step 5: Solve for x
    x = 2,890,352,644/24,913
  6. Step 6: Final answer
    x = 116,017.85

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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.