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Finding the Third Proportional to 4.94 and 8.40

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Solution

The third proportional to 4.94 and 8.40 is: 14.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.94 : 8.40 = 8.40 : x
  2. Step 2: Convert to fraction form
    4.94/8.40 = 8.40/x
  3. Step 3: Cross multiply
    4.94x = 8.40 × 8.40
  4. Step 4: Simplify right side
    4.94x = 70.61
  5. Step 5: Solve for x
    x = 70.61/4.94
  6. Step 6: Final answer
    x = 14.29

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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.