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Finding the Third Proportional to 1,295.44 and 2,000.53

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Solution

The third proportional to 1,295.44 and 2,000.53 is: 3,089.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.44 : 2,000.53 = 2,000.53 : x
  2. Step 2: Convert to fraction form
    1,295.44/2,000.53 = 2,000.53/x
  3. Step 3: Cross multiply
    1,295.44x = 2,000.53 × 2,000.53
  4. Step 4: Simplify right side
    1,295.44x = 4,002,125.28
  5. Step 5: Solve for x
    x = 4,002,125.28/1,295.44
  6. Step 6: Final answer
    x = 3,089.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.