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Finding the Third Proportional to 1,585 and 3,739

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Solution

The third proportional to 1,585 and 3,739 is: 8,820.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585 : 3,739 = 3,739 : x
  2. Step 2: Convert to fraction form
    1,585/3,739 = 3,739/x
  3. Step 3: Cross multiply
    1,585x = 3,739 × 3,739
  4. Step 4: Simplify right side
    1,585x = 13,980,121
  5. Step 5: Solve for x
    x = 13,980,121/1,585
  6. Step 6: Final answer
    x = 8,820.27

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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.