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Finding the Third Proportional to 13.95 and 29.45

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Solution

The third proportional to 13.95 and 29.45 is: 62.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.95 : 29.45 = 29.45 : x
  2. Step 2: Convert to fraction form
    13.95/29.45 = 29.45/x
  3. Step 3: Cross multiply
    13.95x = 29.45 × 29.45
  4. Step 4: Simplify right side
    13.95x = 867.42
  5. Step 5: Solve for x
    x = 867.42/13.95
  6. Step 6: Final answer
    x = 62.18

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.