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Finding the Third Proportional to 38,862.94 and 83,058.38

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Solution

The third proportional to 38,862.94 and 83,058.38 is: 177,513.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,862.94 : 83,058.38 = 83,058.38 : x
  2. Step 2: Convert to fraction form
    38,862.94/83,058.38 = 83,058.38/x
  3. Step 3: Cross multiply
    38,862.94x = 83,058.38 × 83,058.38
  4. Step 4: Simplify right side
    38,862.94x = 6,898,693,657.64
  5. Step 5: Solve for x
    x = 6,898,693,657.64/38,862.94
  6. Step 6: Final answer
    x = 177,513.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.