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Finding the Third Proportional to 38,420.58 and 89,739.14

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Solution

The third proportional to 38,420.58 and 89,739.14 is: 209,604.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,420.58 : 89,739.14 = 89,739.14 : x
  2. Step 2: Convert to fraction form
    38,420.58/89,739.14 = 89,739.14/x
  3. Step 3: Cross multiply
    38,420.58x = 89,739.14 × 89,739.14
  4. Step 4: Simplify right side
    38,420.58x = 8,053,113,360.11
  5. Step 5: Solve for x
    x = 8,053,113,360.11/38,420.58
  6. Step 6: Final answer
    x = 209,604.17

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.