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Finding the Third Proportional to 32,974.59 and 51,090.75

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Solution

The third proportional to 32,974.59 and 51,090.75 is: 79,159.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,974.59 : 51,090.75 = 51,090.75 : x
  2. Step 2: Convert to fraction form
    32,974.59/51,090.75 = 51,090.75/x
  3. Step 3: Cross multiply
    32,974.59x = 51,090.75 × 51,090.75
  4. Step 4: Simplify right side
    32,974.59x = 2,610,264,735.56
  5. Step 5: Solve for x
    x = 2,610,264,735.56/32,974.59
  6. Step 6: Final answer
    x = 79,159.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.