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Finding the Third Proportional to 31,831.69 and 70,019.06

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Solution

The third proportional to 31,831.69 and 70,019.06 is: 154,018.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,831.69 : 70,019.06 = 70,019.06 : x
  2. Step 2: Convert to fraction form
    31,831.69/70,019.06 = 70,019.06/x
  3. Step 3: Cross multiply
    31,831.69x = 70,019.06 × 70,019.06
  4. Step 4: Simplify right side
    31,831.69x = 4,902,669,113.38
  5. Step 5: Solve for x
    x = 4,902,669,113.38/31,831.69
  6. Step 6: Final answer
    x = 154,018.51

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.