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Finding the Third Proportional to 1,565 and 3,346

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Solution

The third proportional to 1,565 and 3,346 is: 7,153.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565 : 3,346 = 3,346 : x
  2. Step 2: Convert to fraction form
    1,565/3,346 = 3,346/x
  3. Step 3: Cross multiply
    1,565x = 3,346 × 3,346
  4. Step 4: Simplify right side
    1,565x = 11,195,716
  5. Step 5: Solve for x
    x = 11,195,716/1,565
  6. Step 6: Final answer
    x = 7,153.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.