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Finding the Third Proportional to 14.08 and 23.93

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Solution

The third proportional to 14.08 and 23.93 is: 40.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.08 : 23.93 = 23.93 : x
  2. Step 2: Convert to fraction form
    14.08/23.93 = 23.93/x
  3. Step 3: Cross multiply
    14.08x = 23.93 × 23.93
  4. Step 4: Simplify right side
    14.08x = 572.61
  5. Step 5: Solve for x
    x = 572.61/14.08
  6. Step 6: Final answer
    x = 40.68

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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.