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Finding the Third Proportional to 22,846.75 and 47,521.75

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Solution

The third proportional to 22,846.75 and 47,521.75 is: 98,846.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,846.75 : 47,521.75 = 47,521.75 : x
  2. Step 2: Convert to fraction form
    22,846.75/47,521.75 = 47,521.75/x
  3. Step 3: Cross multiply
    22,846.75x = 47,521.75 × 47,521.75
  4. Step 4: Simplify right side
    22,846.75x = 2,258,316,723.06
  5. Step 5: Solve for x
    x = 2,258,316,723.06/22,846.75
  6. Step 6: Final answer
    x = 98,846.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.