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Finding the Third Proportional to 8,354 and 12,953

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Solution

The third proportional to 8,354 and 12,953 is: 20,083.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354 : 12,953 = 12,953 : x
  2. Step 2: Convert to fraction form
    8,354/12,953 = 12,953/x
  3. Step 3: Cross multiply
    8,354x = 12,953 × 12,953
  4. Step 4: Simplify right side
    8,354x = 167,780,209
  5. Step 5: Solve for x
    x = 167,780,209/8,354
  6. Step 6: Final answer
    x = 20,083.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.