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Finding the Third Proportional to 15,212 and 16,364

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Solution

The third proportional to 15,212 and 16,364 is: 17,603.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,212 : 16,364 = 16,364 : x
  2. Step 2: Convert to fraction form
    15,212/16,364 = 16,364/x
  3. Step 3: Cross multiply
    15,212x = 16,364 × 16,364
  4. Step 4: Simplify right side
    15,212x = 267,780,496
  5. Step 5: Solve for x
    x = 267,780,496/15,212
  6. Step 6: Final answer
    x = 17,603.24

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.