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Finding the Third Proportional to 7,473.09 and 11,065.36

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Solution

The third proportional to 7,473.09 and 11,065.36 is: 16,384.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,473.09 : 11,065.36 = 11,065.36 : x
  2. Step 2: Convert to fraction form
    7,473.09/11,065.36 = 11,065.36/x
  3. Step 3: Cross multiply
    7,473.09x = 11,065.36 × 11,065.36
  4. Step 4: Simplify right side
    7,473.09x = 122,442,178.10
  5. Step 5: Solve for x
    x = 122,442,178.10/7,473.09
  6. Step 6: Final answer
    x = 16,384.40

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.