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Finding the Third Proportional to 22,221.84 and 48,726.56

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Solution

The third proportional to 22,221.84 and 48,726.56 is: 106,844.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,221.84 : 48,726.56 = 48,726.56 : x
  2. Step 2: Convert to fraction form
    22,221.84/48,726.56 = 48,726.56/x
  3. Step 3: Cross multiply
    22,221.84x = 48,726.56 × 48,726.56
  4. Step 4: Simplify right side
    22,221.84x = 2,374,277,893.07
  5. Step 5: Solve for x
    x = 2,374,277,893.07/22,221.84
  6. Step 6: Final answer
    x = 106,844.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.