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Finding the Third Proportional to 552.66 and 1,302.75

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Solution

The third proportional to 552.66 and 1,302.75 is: 3,070.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.66 : 1,302.75 = 1,302.75 : x
  2. Step 2: Convert to fraction form
    552.66/1,302.75 = 1,302.75/x
  3. Step 3: Cross multiply
    552.66x = 1,302.75 × 1,302.75
  4. Step 4: Simplify right side
    552.66x = 1,697,157.56
  5. Step 5: Solve for x
    x = 1,697,157.56/552.66
  6. Step 6: Final answer
    x = 3,070.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.