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Finding the Third Proportional to 13,604.91 and 21,022.17

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Solution

The third proportional to 13,604.91 and 21,022.17 is: 32,483.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,604.91 : 21,022.17 = 21,022.17 : x
  2. Step 2: Convert to fraction form
    13,604.91/21,022.17 = 21,022.17/x
  3. Step 3: Cross multiply
    13,604.91x = 21,022.17 × 21,022.17
  4. Step 4: Simplify right side
    13,604.91x = 441,931,710.34
  5. Step 5: Solve for x
    x = 441,931,710.34/13,604.91
  6. Step 6: Final answer
    x = 32,483.26

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.