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Finding the Third Proportional to 40,282 and 44,413

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Solution

The third proportional to 40,282 and 44,413 is: 48,967.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,282 : 44,413 = 44,413 : x
  2. Step 2: Convert to fraction form
    40,282/44,413 = 44,413/x
  3. Step 3: Cross multiply
    40,282x = 44,413 × 44,413
  4. Step 4: Simplify right side
    40,282x = 1,972,514,569
  5. Step 5: Solve for x
    x = 1,972,514,569/40,282
  6. Step 6: Final answer
    x = 48,967.64

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.