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Finding the Third Proportional to 24,963 and 53,598

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Solution

The third proportional to 24,963 and 53,598 is: 115,080.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,963 : 53,598 = 53,598 : x
  2. Step 2: Convert to fraction form
    24,963/53,598 = 53,598/x
  3. Step 3: Cross multiply
    24,963x = 53,598 × 53,598
  4. Step 4: Simplify right side
    24,963x = 2,872,745,604
  5. Step 5: Solve for x
    x = 2,872,745,604/24,963
  6. Step 6: Final answer
    x = 115,080.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.