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Finding the Third Proportional to 6,831.84 and 10,967.91

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Solution

The third proportional to 6,831.84 and 10,967.91 is: 17,607.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.84 : 10,967.91 = 10,967.91 : x
  2. Step 2: Convert to fraction form
    6,831.84/10,967.91 = 10,967.91/x
  3. Step 3: Cross multiply
    6,831.84x = 10,967.91 × 10,967.91
  4. Step 4: Simplify right side
    6,831.84x = 120,294,967.51
  5. Step 5: Solve for x
    x = 120,294,967.51/6,831.84
  6. Step 6: Final answer
    x = 17,607.98

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.