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Finding the Third Proportional to 1,587.38 and 3,752.44

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Solution

The third proportional to 1,587.38 and 3,752.44 is: 8,870.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.38 : 3,752.44 = 3,752.44 : x
  2. Step 2: Convert to fraction form
    1,587.38/3,752.44 = 3,752.44/x
  3. Step 3: Cross multiply
    1,587.38x = 3,752.44 × 3,752.44
  4. Step 4: Simplify right side
    1,587.38x = 14,080,787.19
  5. Step 5: Solve for x
    x = 14,080,787.19/1,587.38
  6. Step 6: Final answer
    x = 8,870.49

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.