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Finding the Third Proportional to 7,550.06 and 16,139.06

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Solution

The third proportional to 7,550.06 and 16,139.06 is: 34,498.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,550.06 : 16,139.06 = 16,139.06 : x
  2. Step 2: Convert to fraction form
    7,550.06/16,139.06 = 16,139.06/x
  3. Step 3: Cross multiply
    7,550.06x = 16,139.06 × 16,139.06
  4. Step 4: Simplify right side
    7,550.06x = 260,469,338.38
  5. Step 5: Solve for x
    x = 260,469,338.38/7,550.06
  6. Step 6: Final answer
    x = 34,498.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.