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Finding the Third Proportional to 1,451 and 1,586

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Solution

The third proportional to 1,451 and 1,586 is: 1,733.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451 : 1,586 = 1,586 : x
  2. Step 2: Convert to fraction form
    1,451/1,586 = 1,586/x
  3. Step 3: Cross multiply
    1,451x = 1,586 × 1,586
  4. Step 4: Simplify right side
    1,451x = 2,515,396
  5. Step 5: Solve for x
    x = 2,515,396/1,451
  6. Step 6: Final answer
    x = 1,733.56

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.