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Finding the Third Proportional to 38,746.69 and 82,143.19

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Solution

The third proportional to 38,746.69 and 82,143.19 is: 174,144.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,746.69 : 82,143.19 = 82,143.19 : x
  2. Step 2: Convert to fraction form
    38,746.69/82,143.19 = 82,143.19/x
  3. Step 3: Cross multiply
    38,746.69x = 82,143.19 × 82,143.19
  4. Step 4: Simplify right side
    38,746.69x = 6,747,503,252.66
  5. Step 5: Solve for x
    x = 6,747,503,252.66/38,746.69
  6. Step 6: Final answer
    x = 174,144.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.