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Finding the Third Proportional to 546.88 and 1,161.25

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Solution

The third proportional to 546.88 and 1,161.25 is: 2,465.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.88 : 1,161.25 = 1,161.25 : x
  2. Step 2: Convert to fraction form
    546.88/1,161.25 = 1,161.25/x
  3. Step 3: Cross multiply
    546.88x = 1,161.25 × 1,161.25
  4. Step 4: Simplify right side
    546.88x = 1,348,501.56
  5. Step 5: Solve for x
    x = 1,348,501.56/546.88
  6. Step 6: Final answer
    x = 2,465.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.