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Finding the Third Proportional to 34,557.75 and 72,597

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Solution

The third proportional to 34,557.75 and 72,597 is: 152,507.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,557.75 : 72,597 = 72,597 : x
  2. Step 2: Convert to fraction form
    34,557.75/72,597 = 72,597/x
  3. Step 3: Cross multiply
    34,557.75x = 72,597 × 72,597
  4. Step 4: Simplify right side
    34,557.75x = 5,270,324,409
  5. Step 5: Solve for x
    x = 5,270,324,409/34,557.75
  6. Step 6: Final answer
    x = 152,507.74

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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.