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Finding the Third Proportional to 1,631.39 and 2,330.02

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Solution

The third proportional to 1,631.39 and 2,330.02 is: 3,327.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.39 : 2,330.02 = 2,330.02 : x
  2. Step 2: Convert to fraction form
    1,631.39/2,330.02 = 2,330.02/x
  3. Step 3: Cross multiply
    1,631.39x = 2,330.02 × 2,330.02
  4. Step 4: Simplify right side
    1,631.39x = 5,428,972.81
  5. Step 5: Solve for x
    x = 5,428,972.81/1,631.39
  6. Step 6: Final answer
    x = 3,327.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.