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Finding the Third Proportional to 22,896 and 49,437

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Solution

The third proportional to 22,896 and 49,437 is: 106,744.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,896 : 49,437 = 49,437 : x
  2. Step 2: Convert to fraction form
    22,896/49,437 = 49,437/x
  3. Step 3: Cross multiply
    22,896x = 49,437 × 49,437
  4. Step 4: Simplify right side
    22,896x = 2,444,016,969
  5. Step 5: Solve for x
    x = 2,444,016,969/22,896
  6. Step 6: Final answer
    x = 106,744.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.