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Finding the Third Proportional to 29,089.13 and 40,950.56

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Solution

The third proportional to 29,089.13 and 40,950.56 is: 57,648.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,089.13 : 40,950.56 = 40,950.56 : x
  2. Step 2: Convert to fraction form
    29,089.13/40,950.56 = 40,950.56/x
  3. Step 3: Cross multiply
    29,089.13x = 40,950.56 × 40,950.56
  4. Step 4: Simplify right side
    29,089.13x = 1,676,948,569.07
  5. Step 5: Solve for x
    x = 1,676,948,569.07/29,089.13
  6. Step 6: Final answer
    x = 57,648.64

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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.