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Finding the Third Proportional to 11,294.44 and 23,500.13

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Solution

The third proportional to 11,294.44 and 23,500.13 is: 48,896.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,294.44 : 23,500.13 = 23,500.13 : x
  2. Step 2: Convert to fraction form
    11,294.44/23,500.13 = 23,500.13/x
  3. Step 3: Cross multiply
    11,294.44x = 23,500.13 × 23,500.13
  4. Step 4: Simplify right side
    11,294.44x = 552,255,875.02
  5. Step 5: Solve for x
    x = 552,255,875.02/11,294.44
  6. Step 6: Final answer
    x = 48,896.27

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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.