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Finding the Third Proportional to 32,770 and 47,619

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Solution

The third proportional to 32,770 and 47,619 is: 69,196.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,770 : 47,619 = 47,619 : x
  2. Step 2: Convert to fraction form
    32,770/47,619 = 47,619/x
  3. Step 3: Cross multiply
    32,770x = 47,619 × 47,619
  4. Step 4: Simplify right side
    32,770x = 2,267,569,161
  5. Step 5: Solve for x
    x = 2,267,569,161/32,770
  6. Step 6: Final answer
    x = 69,196.50

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.