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Finding the Third Proportional to 11,007 and 23,767.50

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Solution

The third proportional to 11,007 and 23,767.50 is: 51,321.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,007 : 23,767.50 = 23,767.50 : x
  2. Step 2: Convert to fraction form
    11,007/23,767.50 = 23,767.50/x
  3. Step 3: Cross multiply
    11,007x = 23,767.50 × 23,767.50
  4. Step 4: Simplify right side
    11,007x = 564,894,056.25
  5. Step 5: Solve for x
    x = 564,894,056.25/11,007
  6. Step 6: Final answer
    x = 51,321.35

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.