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Finding the Third Proportional to 3,132.84 and 4,749.89

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Solution

The third proportional to 3,132.84 and 4,749.89 is: 7,201.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.84 : 4,749.89 = 4,749.89 : x
  2. Step 2: Convert to fraction form
    3,132.84/4,749.89 = 4,749.89/x
  3. Step 3: Cross multiply
    3,132.84x = 4,749.89 × 4,749.89
  4. Step 4: Simplify right side
    3,132.84x = 22,561,460.95
  5. Step 5: Solve for x
    x = 22,561,460.95/3,132.84
  6. Step 6: Final answer
    x = 7,201.59

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.