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Finding the Third Proportional to 38,607.38 and 84,595.88

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Solution

The third proportional to 38,607.38 and 84,595.88 is: 185,365.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,607.38 : 84,595.88 = 84,595.88 : x
  2. Step 2: Convert to fraction form
    38,607.38/84,595.88 = 84,595.88/x
  3. Step 3: Cross multiply
    38,607.38x = 84,595.88 × 84,595.88
  4. Step 4: Simplify right side
    38,607.38x = 7,156,462,067.02
  5. Step 5: Solve for x
    x = 7,156,462,067.02/38,607.38
  6. Step 6: Final answer
    x = 185,365.16

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.