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Finding the Third Proportional to 6,445 and 14,282

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Solution

The third proportional to 6,445 and 14,282 is: 31,648.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445 : 14,282 = 14,282 : x
  2. Step 2: Convert to fraction form
    6,445/14,282 = 14,282/x
  3. Step 3: Cross multiply
    6,445x = 14,282 × 14,282
  4. Step 4: Simplify right side
    6,445x = 203,975,524
  5. Step 5: Solve for x
    x = 203,975,524/6,445
  6. Step 6: Final answer
    x = 31,648.65

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.