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Finding the Third Proportional to 3,652.59 and 7,848.14

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Solution

The third proportional to 3,652.59 and 7,848.14 is: 16,862.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.59 : 7,848.14 = 7,848.14 : x
  2. Step 2: Convert to fraction form
    3,652.59/7,848.14 = 7,848.14/x
  3. Step 3: Cross multiply
    3,652.59x = 7,848.14 × 7,848.14
  4. Step 4: Simplify right side
    3,652.59x = 61,593,311.27
  5. Step 5: Solve for x
    x = 61,593,311.27/3,652.59
  6. Step 6: Final answer
    x = 16,862.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.