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Finding the Third Proportional to 12,831.70 and 17,164.25

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Solution

The third proportional to 12,831.70 and 17,164.25 is: 22,959.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,831.70 : 17,164.25 = 17,164.25 : x
  2. Step 2: Convert to fraction form
    12,831.70/17,164.25 = 17,164.25/x
  3. Step 3: Cross multiply
    12,831.70x = 17,164.25 × 17,164.25
  4. Step 4: Simplify right side
    12,831.70x = 294,611,411.01
  5. Step 5: Solve for x
    x = 294,611,411.01/12,831.70
  6. Step 6: Final answer
    x = 22,959.66

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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.