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Finding the Third Proportional to 1.38 and 2.93

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Solution

The third proportional to 1.38 and 2.93 is: 6.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.38 : 2.93 = 2.93 : x
  2. Step 2: Convert to fraction form
    1.38/2.93 = 2.93/x
  3. Step 3: Cross multiply
    1.38x = 2.93 × 2.93
  4. Step 4: Simplify right side
    1.38x = 8.61
  5. Step 5: Solve for x
    x = 8.61/1.38
  6. Step 6: Final answer
    x = 6.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.