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Finding the Third Proportional to 8,288 and 13,312

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Solution

The third proportional to 8,288 and 13,312 is: 21,381.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,288 : 13,312 = 13,312 : x
  2. Step 2: Convert to fraction form
    8,288/13,312 = 13,312/x
  3. Step 3: Cross multiply
    8,288x = 13,312 × 13,312
  4. Step 4: Simplify right side
    8,288x = 177,209,344
  5. Step 5: Solve for x
    x = 177,209,344/8,288
  6. Step 6: Final answer
    x = 21,381.44

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.