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Finding the Third Proportional to 21,433.36 and 47,016.70

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Solution

The third proportional to 21,433.36 and 47,016.70 is: 103,136.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,433.36 : 47,016.70 = 47,016.70 : x
  2. Step 2: Convert to fraction form
    21,433.36/47,016.70 = 47,016.70/x
  3. Step 3: Cross multiply
    21,433.36x = 47,016.70 × 47,016.70
  4. Step 4: Simplify right side
    21,433.36x = 2,210,570,372.74
  5. Step 5: Solve for x
    x = 2,210,570,372.74/21,433.36
  6. Step 6: Final answer
    x = 103,136.91

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.