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Finding the Third Proportional to 16,106.98 and 34,597.76

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Solution

The third proportional to 16,106.98 and 34,597.76 is: 74,315.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,106.98 : 34,597.76 = 34,597.76 : x
  2. Step 2: Convert to fraction form
    16,106.98/34,597.76 = 34,597.76/x
  3. Step 3: Cross multiply
    16,106.98x = 34,597.76 × 34,597.76
  4. Step 4: Simplify right side
    16,106.98x = 1,197,004,845.65
  5. Step 5: Solve for x
    x = 1,197,004,845.65/16,106.98
  6. Step 6: Final answer
    x = 74,315.92

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.