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Finding the Third Proportional to 800.30 and 1,248.96

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Solution

The third proportional to 800.30 and 1,248.96 is: 1,949.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.30 : 1,248.96 = 1,248.96 : x
  2. Step 2: Convert to fraction form
    800.30/1,248.96 = 1,248.96/x
  3. Step 3: Cross multiply
    800.30x = 1,248.96 × 1,248.96
  4. Step 4: Simplify right side
    800.30x = 1,559,903.42
  5. Step 5: Solve for x
    x = 1,559,903.42/800.30
  6. Step 6: Final answer
    x = 1,949.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.