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Finding the Third Proportional to 42,359.81 and 56,473.31

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Solution

The third proportional to 42,359.81 and 56,473.31 is: 75,289.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,359.81 : 56,473.31 = 56,473.31 : x
  2. Step 2: Convert to fraction form
    42,359.81/56,473.31 = 56,473.31/x
  3. Step 3: Cross multiply
    42,359.81x = 56,473.31 × 56,473.31
  4. Step 4: Simplify right side
    42,359.81x = 3,189,235,024.72
  5. Step 5: Solve for x
    x = 3,189,235,024.72/42,359.81
  6. Step 6: Final answer
    x = 75,289.17

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.