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Finding the Third Proportional to 1,027.69 and 1,541.53

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Solution

The third proportional to 1,027.69 and 1,541.53 is: 2,312.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.69 : 1,541.53 = 1,541.53 : x
  2. Step 2: Convert to fraction form
    1,027.69/1,541.53 = 1,541.53/x
  3. Step 3: Cross multiply
    1,027.69x = 1,541.53 × 1,541.53
  4. Step 4: Simplify right side
    1,027.69x = 2,376,318.59
  5. Step 5: Solve for x
    x = 2,376,318.59/1,027.69
  6. Step 6: Final answer
    x = 2,312.30

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Why These Related Problems?

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