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Finding the Third Proportional to 1,425.40 and 2,132.39

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Solution

The third proportional to 1,425.40 and 2,132.39 is: 3,190.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.40 : 2,132.39 = 2,132.39 : x
  2. Step 2: Convert to fraction form
    1,425.40/2,132.39 = 2,132.39/x
  3. Step 3: Cross multiply
    1,425.40x = 2,132.39 × 2,132.39
  4. Step 4: Simplify right side
    1,425.40x = 4,547,089.78
  5. Step 5: Solve for x
    x = 4,547,089.78/1,425.40
  6. Step 6: Final answer
    x = 3,190.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.