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Finding the Third Proportional to 12,196.50 and 17,831.25

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Solution

The third proportional to 12,196.50 and 17,831.25 is: 26,069.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.50 : 17,831.25 = 17,831.25 : x
  2. Step 2: Convert to fraction form
    12,196.50/17,831.25 = 17,831.25/x
  3. Step 3: Cross multiply
    12,196.50x = 17,831.25 × 17,831.25
  4. Step 4: Simplify right side
    12,196.50x = 317,953,476.56
  5. Step 5: Solve for x
    x = 317,953,476.56/12,196.50
  6. Step 6: Final answer
    x = 26,069.24

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.