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Finding the Third Proportional to 8,306 and 12,340

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Solution

The third proportional to 8,306 and 12,340 is: 18,333.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306 : 12,340 = 12,340 : x
  2. Step 2: Convert to fraction form
    8,306/12,340 = 12,340/x
  3. Step 3: Cross multiply
    8,306x = 12,340 × 12,340
  4. Step 4: Simplify right side
    8,306x = 152,275,600
  5. Step 5: Solve for x
    x = 152,275,600/8,306
  6. Step 6: Final answer
    x = 18,333.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.