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Finding the Third Proportional to 25,593 and 53,987

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Solution

The third proportional to 25,593 and 53,987 is: 113,882.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,593 : 53,987 = 53,987 : x
  2. Step 2: Convert to fraction form
    25,593/53,987 = 53,987/x
  3. Step 3: Cross multiply
    25,593x = 53,987 × 53,987
  4. Step 4: Simplify right side
    25,593x = 2,914,596,169
  5. Step 5: Solve for x
    x = 2,914,596,169/25,593
  6. Step 6: Final answer
    x = 113,882.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.