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Finding the Third Proportional to 38,209.85 and 83,362.29

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Solution

The third proportional to 38,209.85 and 83,362.29 is: 181,871.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,209.85 : 83,362.29 = 83,362.29 : x
  2. Step 2: Convert to fraction form
    38,209.85/83,362.29 = 83,362.29/x
  3. Step 3: Cross multiply
    38,209.85x = 83,362.29 × 83,362.29
  4. Step 4: Simplify right side
    38,209.85x = 6,949,271,237.74
  5. Step 5: Solve for x
    x = 6,949,271,237.74/38,209.85
  6. Step 6: Final answer
    x = 181,871.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.