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Finding the Third Proportional to 22,989 and 49,257.75

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Solution

The third proportional to 22,989 and 49,257.75 is: 105,542.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,989 : 49,257.75 = 49,257.75 : x
  2. Step 2: Convert to fraction form
    22,989/49,257.75 = 49,257.75/x
  3. Step 3: Cross multiply
    22,989x = 49,257.75 × 49,257.75
  4. Step 4: Simplify right side
    22,989x = 2,426,325,935.06
  5. Step 5: Solve for x
    x = 2,426,325,935.06/22,989
  6. Step 6: Final answer
    x = 105,542.91

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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.