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Finding the Third Proportional to 41,987.75 and 65,009.88

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Solution

The third proportional to 41,987.75 and 65,009.88 is: 100,655.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,987.75 : 65,009.88 = 65,009.88 : x
  2. Step 2: Convert to fraction form
    41,987.75/65,009.88 = 65,009.88/x
  3. Step 3: Cross multiply
    41,987.75x = 65,009.88 × 65,009.88
  4. Step 4: Simplify right side
    41,987.75x = 4,226,283,847.52
  5. Step 5: Solve for x
    x = 4,226,283,847.52/41,987.75
  6. Step 6: Final answer
    x = 100,655.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.