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Finding the Third Proportional to 10,104.75 and 23,348.25

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Solution

The third proportional to 10,104.75 and 23,348.25 is: 53,948.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,104.75 : 23,348.25 = 23,348.25 : x
  2. Step 2: Convert to fraction form
    10,104.75/23,348.25 = 23,348.25/x
  3. Step 3: Cross multiply
    10,104.75x = 23,348.25 × 23,348.25
  4. Step 4: Simplify right side
    10,104.75x = 545,140,778.06
  5. Step 5: Solve for x
    x = 545,140,778.06/10,104.75
  6. Step 6: Final answer
    x = 53,948.96

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.