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Finding the Third Proportional to 13,965.75 and 21,367.13

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Solution

The third proportional to 13,965.75 and 21,367.13 is: 32,690.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,965.75 : 21,367.13 = 21,367.13 : x
  2. Step 2: Convert to fraction form
    13,965.75/21,367.13 = 21,367.13/x
  3. Step 3: Cross multiply
    13,965.75x = 21,367.13 × 21,367.13
  4. Step 4: Simplify right side
    13,965.75x = 456,554,030.77
  5. Step 5: Solve for x
    x = 456,554,030.77/13,965.75
  6. Step 6: Final answer
    x = 32,690.98

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.