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Finding the Third Proportional to 3,290 and 3,560

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Solution

The third proportional to 3,290 and 3,560 is: 3,852.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290 : 3,560 = 3,560 : x
  2. Step 2: Convert to fraction form
    3,290/3,560 = 3,560/x
  3. Step 3: Cross multiply
    3,290x = 3,560 × 3,560
  4. Step 4: Simplify right side
    3,290x = 12,673,600
  5. Step 5: Solve for x
    x = 12,673,600/3,290
  6. Step 6: Final answer
    x = 3,852.16

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.