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Finding the Third Proportional to 14,406 and 31,486

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Solution

The third proportional to 14,406 and 31,486 is: 68,816.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,406 : 31,486 = 31,486 : x
  2. Step 2: Convert to fraction form
    14,406/31,486 = 31,486/x
  3. Step 3: Cross multiply
    14,406x = 31,486 × 31,486
  4. Step 4: Simplify right side
    14,406x = 991,368,196
  5. Step 5: Solve for x
    x = 991,368,196/14,406
  6. Step 6: Final answer
    x = 68,816.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.