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Finding the Third Proportional to 5,710 and 8,540

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Solution

The third proportional to 5,710 and 8,540 is: 12,772.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710 : 8,540 = 8,540 : x
  2. Step 2: Convert to fraction form
    5,710/8,540 = 8,540/x
  3. Step 3: Cross multiply
    5,710x = 8,540 × 8,540
  4. Step 4: Simplify right side
    5,710x = 72,931,600
  5. Step 5: Solve for x
    x = 72,931,600/5,710
  6. Step 6: Final answer
    x = 12,772.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.