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Finding the Third Proportional to 39,024.28 and 85,118.34

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Solution

The third proportional to 39,024.28 and 85,118.34 is: 185,657.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,024.28 : 85,118.34 = 85,118.34 : x
  2. Step 2: Convert to fraction form
    39,024.28/85,118.34 = 85,118.34/x
  3. Step 3: Cross multiply
    39,024.28x = 85,118.34 × 85,118.34
  4. Step 4: Simplify right side
    39,024.28x = 7,245,132,442.74
  5. Step 5: Solve for x
    x = 7,245,132,442.74/39,024.28
  6. Step 6: Final answer
    x = 185,657.04

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