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Finding the Third Proportional to 24,684 and 53,748

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Solution

The third proportional to 24,684 and 53,748 is: 117,033.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,684 : 53,748 = 53,748 : x
  2. Step 2: Convert to fraction form
    24,684/53,748 = 53,748/x
  3. Step 3: Cross multiply
    24,684x = 53,748 × 53,748
  4. Step 4: Simplify right side
    24,684x = 2,888,847,504
  5. Step 5: Solve for x
    x = 2,888,847,504/24,684
  6. Step 6: Final answer
    x = 117,033.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.