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Finding the Third Proportional to 16,147.69 and 22,261.50

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Solution

The third proportional to 16,147.69 and 22,261.50 is: 30,690.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,147.69 : 22,261.50 = 22,261.50 : x
  2. Step 2: Convert to fraction form
    16,147.69/22,261.50 = 22,261.50/x
  3. Step 3: Cross multiply
    16,147.69x = 22,261.50 × 22,261.50
  4. Step 4: Simplify right side
    16,147.69x = 495,574,382.25
  5. Step 5: Solve for x
    x = 495,574,382.25/16,147.69
  6. Step 6: Final answer
    x = 30,690.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.