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Finding the Third Proportional to 1,276.59 and 1,952.02

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Solution

The third proportional to 1,276.59 and 1,952.02 is: 2,984.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.59 : 1,952.02 = 1,952.02 : x
  2. Step 2: Convert to fraction form
    1,276.59/1,952.02 = 1,952.02/x
  3. Step 3: Cross multiply
    1,276.59x = 1,952.02 × 1,952.02
  4. Step 4: Simplify right side
    1,276.59x = 3,810,365.00
  5. Step 5: Solve for x
    x = 3,810,365.00/1,276.59
  6. Step 6: Final answer
    x = 2,984.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.