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Finding the Third Proportional to 32,924.81 and 72,121.22

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Solution

The third proportional to 32,924.81 and 72,121.22 is: 157,980.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,924.81 : 72,121.22 = 72,121.22 : x
  2. Step 2: Convert to fraction form
    32,924.81/72,121.22 = 72,121.22/x
  3. Step 3: Cross multiply
    32,924.81x = 72,121.22 × 72,121.22
  4. Step 4: Simplify right side
    32,924.81x = 5,201,470,193.99
  5. Step 5: Solve for x
    x = 5,201,470,193.99/32,924.81
  6. Step 6: Final answer
    x = 157,980.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.