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Finding the Third Proportional to 40,959.75 and 65,128.13

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Solution

The third proportional to 40,959.75 and 65,128.13 is: 103,557.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,959.75 : 65,128.13 = 65,128.13 : x
  2. Step 2: Convert to fraction form
    40,959.75/65,128.13 = 65,128.13/x
  3. Step 3: Cross multiply
    40,959.75x = 65,128.13 × 65,128.13
  4. Step 4: Simplify right side
    40,959.75x = 4,241,672,666.02
  5. Step 5: Solve for x
    x = 4,241,672,666.02/40,959.75
  6. Step 6: Final answer
    x = 103,557.09

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