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Finding the Third Proportional to 8,424 and 10,312

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Solution

The third proportional to 8,424 and 10,312 is: 12,623.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424 : 10,312 = 10,312 : x
  2. Step 2: Convert to fraction form
    8,424/10,312 = 10,312/x
  3. Step 3: Cross multiply
    8,424x = 10,312 × 10,312
  4. Step 4: Simplify right side
    8,424x = 106,337,344
  5. Step 5: Solve for x
    x = 106,337,344/8,424
  6. Step 6: Final answer
    x = 12,623.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.