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Finding the Third Proportional to 10.04 and 13.90

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Solution

The third proportional to 10.04 and 13.90 is: 19.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.04 : 13.90 = 13.90 : x
  2. Step 2: Convert to fraction form
    10.04/13.90 = 13.90/x
  3. Step 3: Cross multiply
    10.04x = 13.90 × 13.90
  4. Step 4: Simplify right side
    10.04x = 193.21
  5. Step 5: Solve for x
    x = 193.21/10.04
  6. Step 6: Final answer
    x = 19.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.