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Finding the Third Proportional to 11,246.06 and 23,397.75

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Solution

The third proportional to 11,246.06 and 23,397.75 is: 48,679.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,246.06 : 23,397.75 = 23,397.75 : x
  2. Step 2: Convert to fraction form
    11,246.06/23,397.75 = 23,397.75/x
  3. Step 3: Cross multiply
    11,246.06x = 23,397.75 × 23,397.75
  4. Step 4: Simplify right side
    11,246.06x = 547,454,705.06
  5. Step 5: Solve for x
    x = 547,454,705.06/11,246.06
  6. Step 6: Final answer
    x = 48,679.68

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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.