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Finding the Third Proportional to 14.93 and 35.52

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Solution

The third proportional to 14.93 and 35.52 is: 84.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.93 : 35.52 = 35.52 : x
  2. Step 2: Convert to fraction form
    14.93/35.52 = 35.52/x
  3. Step 3: Cross multiply
    14.93x = 35.52 × 35.52
  4. Step 4: Simplify right side
    14.93x = 1,261.81
  5. Step 5: Solve for x
    x = 1,261.81/14.93
  6. Step 6: Final answer
    x = 84.52

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.