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Finding the Third Proportional to 2.57 and 4.71

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Solution

The third proportional to 2.57 and 4.71 is: 8.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.57 : 4.71 = 4.71 : x
  2. Step 2: Convert to fraction form
    2.57/4.71 = 4.71/x
  3. Step 3: Cross multiply
    2.57x = 4.71 × 4.71
  4. Step 4: Simplify right side
    2.57x = 22.19
  5. Step 5: Solve for x
    x = 22.19/2.57
  6. Step 6: Final answer
    x = 8.65

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.