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Finding the Third Proportional to 727 and 1,585

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Solution

The third proportional to 727 and 1,585 is: 3,455.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    727 : 1,585 = 1,585 : x
  2. Step 2: Convert to fraction form
    727/1,585 = 1,585/x
  3. Step 3: Cross multiply
    727x = 1,585 × 1,585
  4. Step 4: Simplify right side
    727x = 2,512,225
  5. Step 5: Solve for x
    x = 2,512,225/727
  6. Step 6: Final answer
    x = 3,455.61

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Why These Related Problems?

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