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Finding the Third Proportional to 38,863.13 and 57,018.94

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Solution

The third proportional to 38,863.13 and 57,018.94 is: 83,656.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,863.13 : 57,018.94 = 57,018.94 : x
  2. Step 2: Convert to fraction form
    38,863.13/57,018.94 = 57,018.94/x
  3. Step 3: Cross multiply
    38,863.13x = 57,018.94 × 57,018.94
  4. Step 4: Simplify right side
    38,863.13x = 3,251,159,233.63
  5. Step 5: Solve for x
    x = 3,251,159,233.63/38,863.13
  6. Step 6: Final answer
    x = 83,656.66

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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.