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Finding the Third Proportional to 38,215.13 and 56,148.19

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Solution

The third proportional to 38,215.13 and 56,148.19 is: 82,496.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,215.13 : 56,148.19 = 56,148.19 : x
  2. Step 2: Convert to fraction form
    38,215.13/56,148.19 = 56,148.19/x
  3. Step 3: Cross multiply
    38,215.13x = 56,148.19 × 56,148.19
  4. Step 4: Simplify right side
    38,215.13x = 3,152,618,959.54
  5. Step 5: Solve for x
    x = 3,152,618,959.54/38,215.13
  6. Step 6: Final answer
    x = 82,496.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.