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Finding the Third Proportional to 31,327 and 45,303

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Solution

The third proportional to 31,327 and 45,303 is: 65,514.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,327 : 45,303 = 45,303 : x
  2. Step 2: Convert to fraction form
    31,327/45,303 = 45,303/x
  3. Step 3: Cross multiply
    31,327x = 45,303 × 45,303
  4. Step 4: Simplify right side
    31,327x = 2,052,361,809
  5. Step 5: Solve for x
    x = 2,052,361,809/31,327
  6. Step 6: Final answer
    x = 65,514.15

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.