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Finding the Third Proportional to 40,395.71 and 64,534.61

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Solution

The third proportional to 40,395.71 and 64,534.61 is: 103,097.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,395.71 : 64,534.61 = 64,534.61 : x
  2. Step 2: Convert to fraction form
    40,395.71/64,534.61 = 64,534.61/x
  3. Step 3: Cross multiply
    40,395.71x = 64,534.61 × 64,534.61
  4. Step 4: Simplify right side
    40,395.71x = 4,164,716,158.24
  5. Step 5: Solve for x
    x = 4,164,716,158.24/40,395.71
  6. Step 6: Final answer
    x = 103,097.98

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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.