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Finding the Third Proportional to 6,466 and 14,390

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Solution

The third proportional to 6,466 and 14,390 is: 32,024.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466 : 14,390 = 14,390 : x
  2. Step 2: Convert to fraction form
    6,466/14,390 = 14,390/x
  3. Step 3: Cross multiply
    6,466x = 14,390 × 14,390
  4. Step 4: Simplify right side
    6,466x = 207,072,100
  5. Step 5: Solve for x
    x = 207,072,100/6,466
  6. Step 6: Final answer
    x = 32,024.76

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.