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Finding the Third Proportional to 38,215.13 and 51,612.19

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Solution

The third proportional to 38,215.13 and 51,612.19 is: 69,705.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,215.13 : 51,612.19 = 51,612.19 : x
  2. Step 2: Convert to fraction form
    38,215.13/51,612.19 = 51,612.19/x
  3. Step 3: Cross multiply
    38,215.13x = 51,612.19 × 51,612.19
  4. Step 4: Simplify right side
    38,215.13x = 2,663,817,898.54
  5. Step 5: Solve for x
    x = 2,663,817,898.54/38,215.13
  6. Step 6: Final answer
    x = 69,705.85

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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.