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Finding the Third Proportional to 19,324 and 39,080

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Solution

The third proportional to 19,324 and 39,080 is: 79,033.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,324 : 39,080 = 39,080 : x
  2. Step 2: Convert to fraction form
    19,324/39,080 = 39,080/x
  3. Step 3: Cross multiply
    19,324x = 39,080 × 39,080
  4. Step 4: Simplify right side
    19,324x = 1,527,246,400
  5. Step 5: Solve for x
    x = 1,527,246,400/19,324
  6. Step 6: Final answer
    x = 79,033.66

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.