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Finding the Third Proportional to 14.58 and 32.04

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Solution

The third proportional to 14.58 and 32.04 is: 70.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.58 : 32.04 = 32.04 : x
  2. Step 2: Convert to fraction form
    14.58/32.04 = 32.04/x
  3. Step 3: Cross multiply
    14.58x = 32.04 × 32.04
  4. Step 4: Simplify right side
    14.58x = 1,026.35
  5. Step 5: Solve for x
    x = 1,026.35/14.58
  6. Step 6: Final answer
    x = 70.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.