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Finding the Third Proportional to 531.28 and 1,148.13

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Solution

The third proportional to 531.28 and 1,148.13 is: 2,481.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.28 : 1,148.13 = 1,148.13 : x
  2. Step 2: Convert to fraction form
    531.28/1,148.13 = 1,148.13/x
  3. Step 3: Cross multiply
    531.28x = 1,148.13 × 1,148.13
  4. Step 4: Simplify right side
    531.28x = 1,318,208.96
  5. Step 5: Solve for x
    x = 1,318,208.96/531.28
  6. Step 6: Final answer
    x = 2,481.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.