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Finding the Third Proportional to 7.98 and 14.52

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Solution

The third proportional to 7.98 and 14.52 is: 26.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.98 : 14.52 = 14.52 : x
  2. Step 2: Convert to fraction form
    7.98/14.52 = 14.52/x
  3. Step 3: Cross multiply
    7.98x = 14.52 × 14.52
  4. Step 4: Simplify right side
    7.98x = 210.71
  5. Step 5: Solve for x
    x = 210.71/7.98
  6. Step 6: Final answer
    x = 26.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.