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Finding the Third Proportional to 11,127 and 23,833.50

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Solution

The third proportional to 11,127 and 23,833.50 is: 51,050.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,127 : 23,833.50 = 23,833.50 : x
  2. Step 2: Convert to fraction form
    11,127/23,833.50 = 23,833.50/x
  3. Step 3: Cross multiply
    11,127x = 23,833.50 × 23,833.50
  4. Step 4: Simplify right side
    11,127x = 568,035,722.25
  5. Step 5: Solve for x
    x = 568,035,722.25/11,127
  6. Step 6: Final answer
    x = 51,050.21

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