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Finding the Third Proportional to 15,705.38 and 34,180.88

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Solution

The third proportional to 15,705.38 and 34,180.88 is: 74,390.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705.38 : 34,180.88 = 34,180.88 : x
  2. Step 2: Convert to fraction form
    15,705.38/34,180.88 = 34,180.88/x
  3. Step 3: Cross multiply
    15,705.38x = 34,180.88 × 34,180.88
  4. Step 4: Simplify right side
    15,705.38x = 1,168,332,215.77
  5. Step 5: Solve for x
    x = 1,168,332,215.77/15,705.38
  6. Step 6: Final answer
    x = 74,390.60

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.