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Finding the Third Proportional to 45,463.50 and 61,155.75

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Solution

The third proportional to 45,463.50 and 61,155.75 is: 82,264.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,463.50 : 61,155.75 = 61,155.75 : x
  2. Step 2: Convert to fraction form
    45,463.50/61,155.75 = 61,155.75/x
  3. Step 3: Cross multiply
    45,463.50x = 61,155.75 × 61,155.75
  4. Step 4: Simplify right side
    45,463.50x = 3,740,025,758.06
  5. Step 5: Solve for x
    x = 3,740,025,758.06/45,463.50
  6. Step 6: Final answer
    x = 82,264.36

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.