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Finding the Third Proportional to 40,534.59 and 64,753.59

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Solution

The third proportional to 40,534.59 and 64,753.59 is: 103,443.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,534.59 : 64,753.59 = 64,753.59 : x
  2. Step 2: Convert to fraction form
    40,534.59/64,753.59 = 64,753.59/x
  3. Step 3: Cross multiply
    40,534.59x = 64,753.59 × 64,753.59
  4. Step 4: Simplify right side
    40,534.59x = 4,193,027,903.54
  5. Step 5: Solve for x
    x = 4,193,027,903.54/40,534.59
  6. Step 6: Final answer
    x = 103,443.20

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.