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Finding the Third Proportional to 586 and 1,352

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Solution

The third proportional to 586 and 1,352 is: 3,119.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    586 : 1,352 = 1,352 : x
  2. Step 2: Convert to fraction form
    586/1,352 = 1,352/x
  3. Step 3: Cross multiply
    586x = 1,352 × 1,352
  4. Step 4: Simplify right side
    586x = 1,827,904
  5. Step 5: Solve for x
    x = 1,827,904/586
  6. Step 6: Final answer
    x = 3,119.29

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.