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Finding the Third Proportional to 22,614.19 and 48,000.09

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Solution

The third proportional to 22,614.19 and 48,000.09 is: 101,883.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,614.19 : 48,000.09 = 48,000.09 : x
  2. Step 2: Convert to fraction form
    22,614.19/48,000.09 = 48,000.09/x
  3. Step 3: Cross multiply
    22,614.19x = 48,000.09 × 48,000.09
  4. Step 4: Simplify right side
    22,614.19x = 2,304,009,000.01
  5. Step 5: Solve for x
    x = 2,304,009,000.01/22,614.19
  6. Step 6: Final answer
    x = 101,883.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.