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Finding the Third Proportional to 24,594 and 53,972

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Solution

The third proportional to 24,594 and 53,972 is: 118,442.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,594 : 53,972 = 53,972 : x
  2. Step 2: Convert to fraction form
    24,594/53,972 = 53,972/x
  3. Step 3: Cross multiply
    24,594x = 53,972 × 53,972
  4. Step 4: Simplify right side
    24,594x = 2,912,976,784
  5. Step 5: Solve for x
    x = 2,912,976,784/24,594
  6. Step 6: Final answer
    x = 118,442.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.