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Finding the Third Proportional to 24.12 and 37.10

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Solution

The third proportional to 24.12 and 37.10 is: 57.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.12 : 37.10 = 37.10 : x
  2. Step 2: Convert to fraction form
    24.12/37.10 = 37.10/x
  3. Step 3: Cross multiply
    24.12x = 37.10 × 37.10
  4. Step 4: Simplify right side
    24.12x = 1,376.53
  5. Step 5: Solve for x
    x = 1,376.53/24.12
  6. Step 6: Final answer
    x = 57.08

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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.