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Finding the Third Proportional to 1.74 and 2.95

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Solution

The third proportional to 1.74 and 2.95 is: 5.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.74 : 2.95 = 2.95 : x
  2. Step 2: Convert to fraction form
    1.74/2.95 = 2.95/x
  3. Step 3: Cross multiply
    1.74x = 2.95 × 2.95
  4. Step 4: Simplify right side
    1.74x = 8.71
  5. Step 5: Solve for x
    x = 8.71/1.74
  6. Step 6: Final answer
    x = 5.02

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.