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Finding the Third Proportional to 38,860.13 and 85,008

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Solution

The third proportional to 38,860.13 and 85,008 is: 185,958.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,860.13 : 85,008 = 85,008 : x
  2. Step 2: Convert to fraction form
    38,860.13/85,008 = 85,008/x
  3. Step 3: Cross multiply
    38,860.13x = 85,008 × 85,008
  4. Step 4: Simplify right side
    38,860.13x = 7,226,360,064
  5. Step 5: Solve for x
    x = 7,226,360,064/38,860.13
  6. Step 6: Final answer
    x = 185,958.23

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Why These Related Problems?

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