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Finding the Third Proportional to 24,694 and 53,280

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Solution

The third proportional to 24,694 and 53,280 is: 114,957.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,694 : 53,280 = 53,280 : x
  2. Step 2: Convert to fraction form
    24,694/53,280 = 53,280/x
  3. Step 3: Cross multiply
    24,694x = 53,280 × 53,280
  4. Step 4: Simplify right side
    24,694x = 2,838,758,400
  5. Step 5: Solve for x
    x = 2,838,758,400/24,694
  6. Step 6: Final answer
    x = 114,957.41

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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.