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Finding the Third Proportional to 15,314 and 28,441

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Solution

The third proportional to 15,314 and 28,441 is: 52,820.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,314 : 28,441 = 28,441 : x
  2. Step 2: Convert to fraction form
    15,314/28,441 = 28,441/x
  3. Step 3: Cross multiply
    15,314x = 28,441 × 28,441
  4. Step 4: Simplify right side
    15,314x = 808,890,481
  5. Step 5: Solve for x
    x = 808,890,481/15,314
  6. Step 6: Final answer
    x = 52,820.33

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.