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Finding the Third Proportional to 32,914.13 and 72,550.13

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Solution

The third proportional to 32,914.13 and 72,550.13 is: 159,916.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,914.13 : 72,550.13 = 72,550.13 : x
  2. Step 2: Convert to fraction form
    32,914.13/72,550.13 = 72,550.13/x
  3. Step 3: Cross multiply
    32,914.13x = 72,550.13 × 72,550.13
  4. Step 4: Simplify right side
    32,914.13x = 5,263,520,637.52
  5. Step 5: Solve for x
    x = 5,263,520,637.52/32,914.13
  6. Step 6: Final answer
    x = 159,916.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.