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Finding the Third Proportional to 16,461.98 and 34,974.91

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Solution

The third proportional to 16,461.98 and 34,974.91 is: 74,307.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,461.98 : 34,974.91 = 34,974.91 : x
  2. Step 2: Convert to fraction form
    16,461.98/34,974.91 = 34,974.91/x
  3. Step 3: Cross multiply
    16,461.98x = 34,974.91 × 34,974.91
  4. Step 4: Simplify right side
    16,461.98x = 1,223,244,613.68
  5. Step 5: Solve for x
    x = 1,223,244,613.68/16,461.98
  6. Step 6: Final answer
    x = 74,307.24

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.