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Finding the Third Proportional to 14.74 and 29.47

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Solution

The third proportional to 14.74 and 29.47 is: 58.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.74 : 29.47 = 29.47 : x
  2. Step 2: Convert to fraction form
    14.74/29.47 = 29.47/x
  3. Step 3: Cross multiply
    14.74x = 29.47 × 29.47
  4. Step 4: Simplify right side
    14.74x = 868.50
  5. Step 5: Solve for x
    x = 868.50/14.74
  6. Step 6: Final answer
    x = 58.94

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.