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Finding the Third Proportional to 16,831.13 and 18,573.47

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Solution

The third proportional to 16,831.13 and 18,573.47 is: 20,496.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,831.13 : 18,573.47 = 18,573.47 : x
  2. Step 2: Convert to fraction form
    16,831.13/18,573.47 = 18,573.47/x
  3. Step 3: Cross multiply
    16,831.13x = 18,573.47 × 18,573.47
  4. Step 4: Simplify right side
    16,831.13x = 344,973,741.41
  5. Step 5: Solve for x
    x = 344,973,741.41/16,831.13
  6. Step 6: Final answer
    x = 20,496.18

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.