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Finding the Third Proportional to 16,409.25 and 21,920.63

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Solution

The third proportional to 16,409.25 and 21,920.63 is: 29,283.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409.25 : 21,920.63 = 21,920.63 : x
  2. Step 2: Convert to fraction form
    16,409.25/21,920.63 = 21,920.63/x
  3. Step 3: Cross multiply
    16,409.25x = 21,920.63 × 21,920.63
  4. Step 4: Simplify right side
    16,409.25x = 480,513,800.39
  5. Step 5: Solve for x
    x = 480,513,800.39/16,409.25
  6. Step 6: Final answer
    x = 29,283.11

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.