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Finding the Third Proportional to 19,389.38 and 40,024.13

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Solution

The third proportional to 19,389.38 and 40,024.13 is: 82,618.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,389.38 : 40,024.13 = 40,024.13 : x
  2. Step 2: Convert to fraction form
    19,389.38/40,024.13 = 40,024.13/x
  3. Step 3: Cross multiply
    19,389.38x = 40,024.13 × 40,024.13
  4. Step 4: Simplify right side
    19,389.38x = 1,601,930,582.02
  5. Step 5: Solve for x
    x = 1,601,930,582.02/19,389.38
  6. Step 6: Final answer
    x = 82,618.99

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.