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Finding the Third Proportional to 24.65 and 38.02

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Solution

The third proportional to 24.65 and 38.02 is: 58.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.65 : 38.02 = 38.02 : x
  2. Step 2: Convert to fraction form
    24.65/38.02 = 38.02/x
  3. Step 3: Cross multiply
    24.65x = 38.02 × 38.02
  4. Step 4: Simplify right side
    24.65x = 1,445.63
  5. Step 5: Solve for x
    x = 1,445.63/24.65
  6. Step 6: Final answer
    x = 58.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.