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Finding the Third Proportional to 7,831.69 and 17,150.06

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Solution

The third proportional to 7,831.69 and 17,150.06 is: 37,555.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.69 : 17,150.06 = 17,150.06 : x
  2. Step 2: Convert to fraction form
    7,831.69/17,150.06 = 17,150.06/x
  3. Step 3: Cross multiply
    7,831.69x = 17,150.06 × 17,150.06
  4. Step 4: Simplify right side
    7,831.69x = 294,124,643.75
  5. Step 5: Solve for x
    x = 294,124,643.75/7,831.69
  6. Step 6: Final answer
    x = 37,555.72

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.