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Finding the Third Proportional to 25,987 and 40,501

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Solution

The third proportional to 25,987 and 40,501 is: 63,121.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,987 : 40,501 = 40,501 : x
  2. Step 2: Convert to fraction form
    25,987/40,501 = 40,501/x
  3. Step 3: Cross multiply
    25,987x = 40,501 × 40,501
  4. Step 4: Simplify right side
    25,987x = 1,640,331,001
  5. Step 5: Solve for x
    x = 1,640,331,001/25,987
  6. Step 6: Final answer
    x = 63,121.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.