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Finding the Third Proportional to 42,814.50 and 56,809.75

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Solution

The third proportional to 42,814.50 and 56,809.75 is: 75,379.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,814.50 : 56,809.75 = 56,809.75 : x
  2. Step 2: Convert to fraction form
    42,814.50/56,809.75 = 56,809.75/x
  3. Step 3: Cross multiply
    42,814.50x = 56,809.75 × 56,809.75
  4. Step 4: Simplify right side
    42,814.50x = 3,227,347,695.06
  5. Step 5: Solve for x
    x = 3,227,347,695.06/42,814.50
  6. Step 6: Final answer
    x = 75,379.78

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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.