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Finding the Third Proportional to 3,429 and 5,012.72

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Solution

The third proportional to 3,429 and 5,012.72 is: 7,327.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429 : 5,012.72 = 5,012.72 : x
  2. Step 2: Convert to fraction form
    3,429/5,012.72 = 5,012.72/x
  3. Step 3: Cross multiply
    3,429x = 5,012.72 × 5,012.72
  4. Step 4: Simplify right side
    3,429x = 25,127,349.27
  5. Step 5: Solve for x
    x = 25,127,349.27/3,429
  6. Step 6: Final answer
    x = 7,327.89

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.