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Finding the Third Proportional to 32,190 and 51,705

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Solution

The third proportional to 32,190 and 51,705 is: 83,050.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,190 : 51,705 = 51,705 : x
  2. Step 2: Convert to fraction form
    32,190/51,705 = 51,705/x
  3. Step 3: Cross multiply
    32,190x = 51,705 × 51,705
  4. Step 4: Simplify right side
    32,190x = 2,673,407,025
  5. Step 5: Solve for x
    x = 2,673,407,025/32,190
  6. Step 6: Final answer
    x = 83,050.86

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.