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Finding the Third Proportional to 38,857.13 and 58,045.13

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Solution

The third proportional to 38,857.13 and 58,045.13 is: 86,708.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,857.13 : 58,045.13 = 58,045.13 : x
  2. Step 2: Convert to fraction form
    38,857.13/58,045.13 = 58,045.13/x
  3. Step 3: Cross multiply
    38,857.13x = 58,045.13 × 58,045.13
  4. Step 4: Simplify right side
    38,857.13x = 3,369,236,536.27
  5. Step 5: Solve for x
    x = 3,369,236,536.27/38,857.13
  6. Step 6: Final answer
    x = 86,708.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.