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Finding the Third Proportional to 22,811.06 and 48,774.38

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Solution

The third proportional to 22,811.06 and 48,774.38 is: 104,288.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,811.06 : 48,774.38 = 48,774.38 : x
  2. Step 2: Convert to fraction form
    22,811.06/48,774.38 = 48,774.38/x
  3. Step 3: Cross multiply
    22,811.06x = 48,774.38 × 48,774.38
  4. Step 4: Simplify right side
    22,811.06x = 2,378,939,656.64
  5. Step 5: Solve for x
    x = 2,378,939,656.64/22,811.06
  6. Step 6: Final answer
    x = 104,288.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.