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Finding the Third Proportional to 16,727.45 and 24,629.12

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Solution

The third proportional to 16,727.45 and 24,629.12 is: 36,263.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,727.45 : 24,629.12 = 24,629.12 : x
  2. Step 2: Convert to fraction form
    16,727.45/24,629.12 = 24,629.12/x
  3. Step 3: Cross multiply
    16,727.45x = 24,629.12 × 24,629.12
  4. Step 4: Simplify right side
    16,727.45x = 606,593,317.23
  5. Step 5: Solve for x
    x = 606,593,317.23/16,727.45
  6. Step 6: Final answer
    x = 36,263.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.