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Finding the Third Proportional to 7,626.66 and 16,541.72

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Solution

The third proportional to 7,626.66 and 16,541.72 is: 35,877.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,626.66 : 16,541.72 = 16,541.72 : x
  2. Step 2: Convert to fraction form
    7,626.66/16,541.72 = 16,541.72/x
  3. Step 3: Cross multiply
    7,626.66x = 16,541.72 × 16,541.72
  4. Step 4: Simplify right side
    7,626.66x = 273,628,459.20
  5. Step 5: Solve for x
    x = 273,628,459.20/7,626.66
  6. Step 6: Final answer
    x = 35,877.91

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.