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Finding the Third Proportional to 13,401.78 and 28,584.77

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Solution

The third proportional to 13,401.78 and 28,584.77 is: 60,968.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,401.78 : 28,584.77 = 28,584.77 : x
  2. Step 2: Convert to fraction form
    13,401.78/28,584.77 = 28,584.77/x
  3. Step 3: Cross multiply
    13,401.78x = 28,584.77 × 28,584.77
  4. Step 4: Simplify right side
    13,401.78x = 817,089,272.47
  5. Step 5: Solve for x
    x = 817,089,272.47/13,401.78
  6. Step 6: Final answer
    x = 60,968.70

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.