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Finding the Third Proportional to 13,476.38 and 22,188.94

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Solution

The third proportional to 13,476.38 and 22,188.94 is: 36,534.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,476.38 : 22,188.94 = 22,188.94 : x
  2. Step 2: Convert to fraction form
    13,476.38/22,188.94 = 22,188.94/x
  3. Step 3: Cross multiply
    13,476.38x = 22,188.94 × 22,188.94
  4. Step 4: Simplify right side
    13,476.38x = 492,348,947.38
  5. Step 5: Solve for x
    x = 492,348,947.38/13,476.38
  6. Step 6: Final answer
    x = 36,534.23

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.