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Finding the Third Proportional to 48,594 and 62,093

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Solution

The third proportional to 48,594 and 62,093 is: 79,341.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,594 : 62,093 = 62,093 : x
  2. Step 2: Convert to fraction form
    48,594/62,093 = 62,093/x
  3. Step 3: Cross multiply
    48,594x = 62,093 × 62,093
  4. Step 4: Simplify right side
    48,594x = 3,855,540,649
  5. Step 5: Solve for x
    x = 3,855,540,649/48,594
  6. Step 6: Final answer
    x = 79,341.91

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.