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Finding the Third Proportional to 11,148.75 and 23,853.94

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Solution

The third proportional to 11,148.75 and 23,853.94 is: 51,038.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,148.75 : 23,853.94 = 23,853.94 : x
  2. Step 2: Convert to fraction form
    11,148.75/23,853.94 = 23,853.94/x
  3. Step 3: Cross multiply
    11,148.75x = 23,853.94 × 23,853.94
  4. Step 4: Simplify right side
    11,148.75x = 569,010,334.25
  5. Step 5: Solve for x
    x = 569,010,334.25/11,148.75
  6. Step 6: Final answer
    x = 51,038.04

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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.