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Finding the Third Proportional to 22,998 and 49,277

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Solution

The third proportional to 22,998 and 49,277 is: 105,584.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,998 : 49,277 = 49,277 : x
  2. Step 2: Convert to fraction form
    22,998/49,277 = 49,277/x
  3. Step 3: Cross multiply
    22,998x = 49,277 × 49,277
  4. Step 4: Simplify right side
    22,998x = 2,428,222,729
  5. Step 5: Solve for x
    x = 2,428,222,729/22,998
  6. Step 6: Final answer
    x = 105,584.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.