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Finding the Third Proportional to 1,025.44 and 1,537.84

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Solution

The third proportional to 1,025.44 and 1,537.84 is: 2,306.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.44 : 1,537.84 = 1,537.84 : x
  2. Step 2: Convert to fraction form
    1,025.44/1,537.84 = 1,537.84/x
  3. Step 3: Cross multiply
    1,025.44x = 1,537.84 × 1,537.84
  4. Step 4: Simplify right side
    1,025.44x = 2,364,963.40
  5. Step 5: Solve for x
    x = 2,364,963.40/1,025.44
  6. Step 6: Final answer
    x = 2,306.30

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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.