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Finding the Third Proportional to 5,234 and 8,160

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Solution

The third proportional to 5,234 and 8,160 is: 12,721.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234 : 8,160 = 8,160 : x
  2. Step 2: Convert to fraction form
    5,234/8,160 = 8,160/x
  3. Step 3: Cross multiply
    5,234x = 8,160 × 8,160
  4. Step 4: Simplify right side
    5,234x = 66,585,600
  5. Step 5: Solve for x
    x = 66,585,600/5,234
  6. Step 6: Final answer
    x = 12,721.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.