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Finding the Third Proportional to 39,198 and 59,718.38

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Solution

The third proportional to 39,198 and 59,718.38 is: 90,981.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,198 : 59,718.38 = 59,718.38 : x
  2. Step 2: Convert to fraction form
    39,198/59,718.38 = 59,718.38/x
  3. Step 3: Cross multiply
    39,198x = 59,718.38 × 59,718.38
  4. Step 4: Simplify right side
    39,198x = 3,566,284,312.64
  5. Step 5: Solve for x
    x = 3,566,284,312.64/39,198
  6. Step 6: Final answer
    x = 90,981.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.