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Finding the Third Proportional to 1.40 and 2.94

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Solution

The third proportional to 1.40 and 2.94 is: 6.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.40 : 2.94 = 2.94 : x
  2. Step 2: Convert to fraction form
    1.40/2.94 = 2.94/x
  3. Step 3: Cross multiply
    1.40x = 2.94 × 2.94
  4. Step 4: Simplify right side
    1.40x = 8.63
  5. Step 5: Solve for x
    x = 8.63/1.40
  6. Step 6: Final answer
    x = 6.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.