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Finding the Third Proportional to 40,938.75 and 65,098.13

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Solution

The third proportional to 40,938.75 and 65,098.13 is: 103,514.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,938.75 : 65,098.13 = 65,098.13 : x
  2. Step 2: Convert to fraction form
    40,938.75/65,098.13 = 65,098.13/x
  3. Step 3: Cross multiply
    40,938.75x = 65,098.13 × 65,098.13
  4. Step 4: Simplify right side
    40,938.75x = 4,237,765,878.52
  5. Step 5: Solve for x
    x = 4,237,765,878.52/40,938.75
  6. Step 6: Final answer
    x = 103,514.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.