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Finding the Third Proportional to 7,862.06 and 16,967.81

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Solution

The third proportional to 7,862.06 and 16,967.81 is: 36,619.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.06 : 16,967.81 = 16,967.81 : x
  2. Step 2: Convert to fraction form
    7,862.06/16,967.81 = 16,967.81/x
  3. Step 3: Cross multiply
    7,862.06x = 16,967.81 × 16,967.81
  4. Step 4: Simplify right side
    7,862.06x = 287,906,661.04
  5. Step 5: Solve for x
    x = 287,906,661.04/7,862.06
  6. Step 6: Final answer
    x = 36,619.74

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.