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Finding the Third Proportional to 22,914.14 and 49,518.84

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Solution

The third proportional to 22,914.14 and 49,518.84 is: 107,013.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,914.14 : 49,518.84 = 49,518.84 : x
  2. Step 2: Convert to fraction form
    22,914.14/49,518.84 = 49,518.84/x
  3. Step 3: Cross multiply
    22,914.14x = 49,518.84 × 49,518.84
  4. Step 4: Simplify right side
    22,914.14x = 2,452,115,886.34
  5. Step 5: Solve for x
    x = 2,452,115,886.34/22,914.14
  6. Step 6: Final answer
    x = 107,013.22

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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.