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Finding the Third Proportional to 42,905.32 and 66,433.92

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Solution

The third proportional to 42,905.32 and 66,433.92 is: 102,865.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,905.32 : 66,433.92 = 66,433.92 : x
  2. Step 2: Convert to fraction form
    42,905.32/66,433.92 = 66,433.92/x
  3. Step 3: Cross multiply
    42,905.32x = 66,433.92 × 66,433.92
  4. Step 4: Simplify right side
    42,905.32x = 4,413,465,975.69
  5. Step 5: Solve for x
    x = 4,413,465,975.69/42,905.32
  6. Step 6: Final answer
    x = 102,865.24

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