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Finding the Third Proportional to 7,464.09 and 16,034.06

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Solution

The third proportional to 7,464.09 and 16,034.06 is: 34,443.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,464.09 : 16,034.06 = 16,034.06 : x
  2. Step 2: Convert to fraction form
    7,464.09/16,034.06 = 16,034.06/x
  3. Step 3: Cross multiply
    7,464.09x = 16,034.06 × 16,034.06
  4. Step 4: Simplify right side
    7,464.09x = 257,091,160.25
  5. Step 5: Solve for x
    x = 257,091,160.25/7,464.09
  6. Step 6: Final answer
    x = 34,443.72

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Why These Related Problems?

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