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Finding the Third Proportional to 29,776 and 40,829

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Solution

The third proportional to 29,776 and 40,829 is: 55,984.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,776 : 40,829 = 40,829 : x
  2. Step 2: Convert to fraction form
    29,776/40,829 = 40,829/x
  3. Step 3: Cross multiply
    29,776x = 40,829 × 40,829
  4. Step 4: Simplify right side
    29,776x = 1,667,007,241
  5. Step 5: Solve for x
    x = 1,667,007,241/29,776
  6. Step 6: Final answer
    x = 55,984.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.