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Finding the Third Proportional to 24,925 and 38,311.25

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Solution

The third proportional to 24,925 and 38,311.25 is: 58,886.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,925 : 38,311.25 = 38,311.25 : x
  2. Step 2: Convert to fraction form
    24,925/38,311.25 = 38,311.25/x
  3. Step 3: Cross multiply
    24,925x = 38,311.25 × 38,311.25
  4. Step 4: Simplify right side
    24,925x = 1,467,751,876.56
  5. Step 5: Solve for x
    x = 1,467,751,876.56/24,925
  6. Step 6: Final answer
    x = 58,886.74

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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.