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Finding the Third Proportional to 22,304.81 and 49,530.38

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Solution

The third proportional to 22,304.81 and 49,530.38 is: 109,987.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,304.81 : 49,530.38 = 49,530.38 : x
  2. Step 2: Convert to fraction form
    22,304.81/49,530.38 = 49,530.38/x
  3. Step 3: Cross multiply
    22,304.81x = 49,530.38 × 49,530.38
  4. Step 4: Simplify right side
    22,304.81x = 2,453,258,047.64
  5. Step 5: Solve for x
    x = 2,453,258,047.64/22,304.81
  6. Step 6: Final answer
    x = 109,987.84

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.