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Finding the Third Proportional to 13,365.84 and 21,022.45

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Solution

The third proportional to 13,365.84 and 21,022.45 is: 33,065.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,365.84 : 21,022.45 = 21,022.45 : x
  2. Step 2: Convert to fraction form
    13,365.84/21,022.45 = 21,022.45/x
  3. Step 3: Cross multiply
    13,365.84x = 21,022.45 × 21,022.45
  4. Step 4: Simplify right side
    13,365.84x = 441,943,535.39
  5. Step 5: Solve for x
    x = 441,943,535.39/13,365.84
  6. Step 6: Final answer
    x = 33,065.14

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.