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Finding the Third Proportional to 8,294 and 14,650

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Solution

The third proportional to 8,294 and 14,650 is: 25,876.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294 : 14,650 = 14,650 : x
  2. Step 2: Convert to fraction form
    8,294/14,650 = 14,650/x
  3. Step 3: Cross multiply
    8,294x = 14,650 × 14,650
  4. Step 4: Simplify right side
    8,294x = 214,622,500
  5. Step 5: Solve for x
    x = 214,622,500/8,294
  6. Step 6: Final answer
    x = 25,876.84

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.