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Finding the Third Proportional to 24,928 and 38,594

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Solution

The third proportional to 24,928 and 38,594 is: 59,751.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,928 : 38,594 = 38,594 : x
  2. Step 2: Convert to fraction form
    24,928/38,594 = 38,594/x
  3. Step 3: Cross multiply
    24,928x = 38,594 × 38,594
  4. Step 4: Simplify right side
    24,928x = 1,489,496,836
  5. Step 5: Solve for x
    x = 1,489,496,836/24,928
  6. Step 6: Final answer
    x = 59,751.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.