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Finding the Third Proportional to 18,280 and 39,023

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Solution

The third proportional to 18,280 and 39,023 is: 83,303.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,280 : 39,023 = 39,023 : x
  2. Step 2: Convert to fraction form
    18,280/39,023 = 39,023/x
  3. Step 3: Cross multiply
    18,280x = 39,023 × 39,023
  4. Step 4: Simplify right side
    18,280x = 1,522,794,529
  5. Step 5: Solve for x
    x = 1,522,794,529/18,280
  6. Step 6: Final answer
    x = 83,303.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.