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Finding the Third Proportional to 7,426.69 and 11,350.76

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Solution

The third proportional to 7,426.69 and 11,350.76 is: 17,348.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,426.69 : 11,350.76 = 11,350.76 : x
  2. Step 2: Convert to fraction form
    7,426.69/11,350.76 = 11,350.76/x
  3. Step 3: Cross multiply
    7,426.69x = 11,350.76 × 11,350.76
  4. Step 4: Simplify right side
    7,426.69x = 128,839,702.92
  5. Step 5: Solve for x
    x = 128,839,702.92/7,426.69
  6. Step 6: Final answer
    x = 17,348.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.