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Finding the Third Proportional to 1,587.94 and 3,836.53

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Solution

The third proportional to 1,587.94 and 3,836.53 is: 9,269.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.94 : 3,836.53 = 3,836.53 : x
  2. Step 2: Convert to fraction form
    1,587.94/3,836.53 = 3,836.53/x
  3. Step 3: Cross multiply
    1,587.94x = 3,836.53 × 3,836.53
  4. Step 4: Simplify right side
    1,587.94x = 14,718,972.03
  5. Step 5: Solve for x
    x = 14,718,972.03/1,587.94
  6. Step 6: Final answer
    x = 9,269.24

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.