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Finding the Third Proportional to 29,062 and 40,924

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Solution

The third proportional to 29,062 and 40,924 is: 57,627.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,062 : 40,924 = 40,924 : x
  2. Step 2: Convert to fraction form
    29,062/40,924 = 40,924/x
  3. Step 3: Cross multiply
    29,062x = 40,924 × 40,924
  4. Step 4: Simplify right side
    29,062x = 1,674,773,776
  5. Step 5: Solve for x
    x = 1,674,773,776/29,062
  6. Step 6: Final answer
    x = 57,627.62

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.