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Finding the Third Proportional to 38,854.13 and 84,998.25

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Solution

The third proportional to 38,854.13 and 84,998.25 is: 185,944.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,854.13 : 84,998.25 = 84,998.25 : x
  2. Step 2: Convert to fraction form
    38,854.13/84,998.25 = 84,998.25/x
  3. Step 3: Cross multiply
    38,854.13x = 84,998.25 × 84,998.25
  4. Step 4: Simplify right side
    38,854.13x = 7,224,702,503.06
  5. Step 5: Solve for x
    x = 7,224,702,503.06/38,854.13
  6. Step 6: Final answer
    x = 185,944.29

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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.