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Finding the Third Proportional to 32,550 and 44,220

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Solution

The third proportional to 32,550 and 44,220 is: 60,073.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,550 : 44,220 = 44,220 : x
  2. Step 2: Convert to fraction form
    32,550/44,220 = 44,220/x
  3. Step 3: Cross multiply
    32,550x = 44,220 × 44,220
  4. Step 4: Simplify right side
    32,550x = 1,955,408,400
  5. Step 5: Solve for x
    x = 1,955,408,400/32,550
  6. Step 6: Final answer
    x = 60,073.99

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.