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Finding the Third Proportional to 45,339.75 and 69,991.88

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Solution

The third proportional to 45,339.75 and 69,991.88 is: 108,047.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,339.75 : 69,991.88 = 69,991.88 : x
  2. Step 2: Convert to fraction form
    45,339.75/69,991.88 = 69,991.88/x
  3. Step 3: Cross multiply
    45,339.75x = 69,991.88 × 69,991.88
  4. Step 4: Simplify right side
    45,339.75x = 4,898,862,566.02
  5. Step 5: Solve for x
    x = 4,898,862,566.02/45,339.75
  6. Step 6: Final answer
    x = 108,047.85

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.