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Finding the Third Proportional to 1,005.96 and 1,503.14

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Solution

The third proportional to 1,005.96 and 1,503.14 is: 2,246.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.96 : 1,503.14 = 1,503.14 : x
  2. Step 2: Convert to fraction form
    1,005.96/1,503.14 = 1,503.14/x
  3. Step 3: Cross multiply
    1,005.96x = 1,503.14 × 1,503.14
  4. Step 4: Simplify right side
    1,005.96x = 2,259,431.74
  5. Step 5: Solve for x
    x = 2,259,431.74/1,005.96
  6. Step 6: Final answer
    x = 2,246.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.