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Finding the Third Proportional to 34,308.56 and 72,358.95

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Solution

The third proportional to 34,308.56 and 72,358.95 is: 152,609.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,308.56 : 72,358.95 = 72,358.95 : x
  2. Step 2: Convert to fraction form
    34,308.56/72,358.95 = 72,358.95/x
  3. Step 3: Cross multiply
    34,308.56x = 72,358.95 × 72,358.95
  4. Step 4: Simplify right side
    34,308.56x = 5,235,816,966.74
  5. Step 5: Solve for x
    x = 5,235,816,966.74/34,308.56
  6. Step 6: Final answer
    x = 152,609.63

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.