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Finding the Third Proportional to 2,652.59 and 4,036.55

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Solution

The third proportional to 2,652.59 and 4,036.55 is: 6,142.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.59 : 4,036.55 = 4,036.55 : x
  2. Step 2: Convert to fraction form
    2,652.59/4,036.55 = 4,036.55/x
  3. Step 3: Cross multiply
    2,652.59x = 4,036.55 × 4,036.55
  4. Step 4: Simplify right side
    2,652.59x = 16,293,757.98
  5. Step 5: Solve for x
    x = 16,293,757.98/2,652.59
  6. Step 6: Final answer
    x = 6,142.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.