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Finding the Third Proportional to 10,894 and 14,486

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Solution

The third proportional to 10,894 and 14,486 is: 19,262.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894 : 14,486 = 14,486 : x
  2. Step 2: Convert to fraction form
    10,894/14,486 = 14,486/x
  3. Step 3: Cross multiply
    10,894x = 14,486 × 14,486
  4. Step 4: Simplify right side
    10,894x = 209,844,196
  5. Step 5: Solve for x
    x = 209,844,196/10,894
  6. Step 6: Final answer
    x = 19,262.36

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.