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Finding the Third Proportional to 13,881.50 and 22,077.50

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Solution

The third proportional to 13,881.50 and 22,077.50 is: 35,112.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,881.50 : 22,077.50 = 22,077.50 : x
  2. Step 2: Convert to fraction form
    13,881.50/22,077.50 = 22,077.50/x
  3. Step 3: Cross multiply
    13,881.50x = 22,077.50 × 22,077.50
  4. Step 4: Simplify right side
    13,881.50x = 487,416,006.25
  5. Step 5: Solve for x
    x = 487,416,006.25/13,881.50
  6. Step 6: Final answer
    x = 35,112.63

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.