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Finding the Third Proportional to 13,110.75 and 28,023.19

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Solution

The third proportional to 13,110.75 and 28,023.19 is: 59,897.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,110.75 : 28,023.19 = 28,023.19 : x
  2. Step 2: Convert to fraction form
    13,110.75/28,023.19 = 28,023.19/x
  3. Step 3: Cross multiply
    13,110.75x = 28,023.19 × 28,023.19
  4. Step 4: Simplify right side
    13,110.75x = 785,299,037.66
  5. Step 5: Solve for x
    x = 785,299,037.66/13,110.75
  6. Step 6: Final answer
    x = 59,897.34

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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.