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Finding the Third Proportional to 29,691 and 40,334.63

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Solution

The third proportional to 29,691 and 40,334.63 is: 54,793.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,691 : 40,334.63 = 40,334.63 : x
  2. Step 2: Convert to fraction form
    29,691/40,334.63 = 40,334.63/x
  3. Step 3: Cross multiply
    29,691x = 40,334.63 × 40,334.63
  4. Step 4: Simplify right side
    29,691x = 1,626,881,973.89
  5. Step 5: Solve for x
    x = 1,626,881,973.89/29,691
  6. Step 6: Final answer
    x = 54,793.78

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.