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Finding the Third Proportional to 1.71 and 4.70

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Solution

The third proportional to 1.71 and 4.70 is: 12.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.71 : 4.70 = 4.70 : x
  2. Step 2: Convert to fraction form
    1.71/4.70 = 4.70/x
  3. Step 3: Cross multiply
    1.71x = 4.70 × 4.70
  4. Step 4: Simplify right side
    1.71x = 22.13
  5. Step 5: Solve for x
    x = 22.13/1.71
  6. Step 6: Final answer
    x = 12.94

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Why These Related Problems?

These problems maintain the same ratio (2.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.