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Finding the Third Proportional to 32,324 and 50,022

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Solution

The third proportional to 32,324 and 50,022 is: 77,409.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,324 : 50,022 = 50,022 : x
  2. Step 2: Convert to fraction form
    32,324/50,022 = 50,022/x
  3. Step 3: Cross multiply
    32,324x = 50,022 × 50,022
  4. Step 4: Simplify right side
    32,324x = 2,502,200,484
  5. Step 5: Solve for x
    x = 2,502,200,484/32,324
  6. Step 6: Final answer
    x = 77,409.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.