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Finding the Third Proportional to 38,282.63 and 81,111.38

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Solution

The third proportional to 38,282.63 and 81,111.38 is: 171,854.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,282.63 : 81,111.38 = 81,111.38 : x
  2. Step 2: Convert to fraction form
    38,282.63/81,111.38 = 81,111.38/x
  3. Step 3: Cross multiply
    38,282.63x = 81,111.38 × 81,111.38
  4. Step 4: Simplify right side
    38,282.63x = 6,579,055,154.39
  5. Step 5: Solve for x
    x = 6,579,055,154.39/38,282.63
  6. Step 6: Final answer
    x = 171,854.86

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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.