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Finding the Third Proportional to 34,551.13 and 72,583.56

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Solution

The third proportional to 34,551.13 and 72,583.56 is: 152,480.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,551.13 : 72,583.56 = 72,583.56 : x
  2. Step 2: Convert to fraction form
    34,551.13/72,583.56 = 72,583.56/x
  3. Step 3: Cross multiply
    34,551.13x = 72,583.56 × 72,583.56
  4. Step 4: Simplify right side
    34,551.13x = 5,268,373,545.19
  5. Step 5: Solve for x
    x = 5,268,373,545.19/34,551.13
  6. Step 6: Final answer
    x = 152,480.52

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.