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Finding the Third Proportional to 7,348.88 and 16,633.13

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Solution

The third proportional to 7,348.88 and 16,633.13 is: 37,646.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,348.88 : 16,633.13 = 16,633.13 : x
  2. Step 2: Convert to fraction form
    7,348.88/16,633.13 = 16,633.13/x
  3. Step 3: Cross multiply
    7,348.88x = 16,633.13 × 16,633.13
  4. Step 4: Simplify right side
    7,348.88x = 276,660,847.27
  5. Step 5: Solve for x
    x = 276,660,847.27/7,348.88
  6. Step 6: Final answer
    x = 37,646.69

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.