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Finding the Third Proportional to 36,920 and 58,692

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Solution

The third proportional to 36,920 and 58,692 is: 93,303.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,920 : 58,692 = 58,692 : x
  2. Step 2: Convert to fraction form
    36,920/58,692 = 58,692/x
  3. Step 3: Cross multiply
    36,920x = 58,692 × 58,692
  4. Step 4: Simplify right side
    36,920x = 3,444,750,864
  5. Step 5: Solve for x
    x = 3,444,750,864/36,920
  6. Step 6: Final answer
    x = 93,303.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.