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Finding the Third Proportional to 16,746.75 and 22,069.13

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Solution

The third proportional to 16,746.75 and 22,069.13 is: 29,083.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,746.75 : 22,069.13 = 22,069.13 : x
  2. Step 2: Convert to fraction form
    16,746.75/22,069.13 = 22,069.13/x
  3. Step 3: Cross multiply
    16,746.75x = 22,069.13 × 22,069.13
  4. Step 4: Simplify right side
    16,746.75x = 487,046,278.27
  5. Step 5: Solve for x
    x = 487,046,278.27/16,746.75
  6. Step 6: Final answer
    x = 29,083.03

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.