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Finding the Third Proportional to 24.05 and 32.70

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Solution

The third proportional to 24.05 and 32.70 is: 44.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.05 : 32.70 = 32.70 : x
  2. Step 2: Convert to fraction form
    24.05/32.70 = 32.70/x
  3. Step 3: Cross multiply
    24.05x = 32.70 × 32.70
  4. Step 4: Simplify right side
    24.05x = 1,068.98
  5. Step 5: Solve for x
    x = 1,068.98/24.05
  6. Step 6: Final answer
    x = 44.45

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.