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Finding the Third Proportional to 29,822 and 40,356

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Solution

The third proportional to 29,822 and 40,356 is: 54,610.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,822 : 40,356 = 40,356 : x
  2. Step 2: Convert to fraction form
    29,822/40,356 = 40,356/x
  3. Step 3: Cross multiply
    29,822x = 40,356 × 40,356
  4. Step 4: Simplify right side
    29,822x = 1,628,606,736
  5. Step 5: Solve for x
    x = 1,628,606,736/29,822
  6. Step 6: Final answer
    x = 54,610.92

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.