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Finding the Third Proportional to 7,199.51 and 11,269.55

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Solution

The third proportional to 7,199.51 and 11,269.55 is: 17,640.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,199.51 : 11,269.55 = 11,269.55 : x
  2. Step 2: Convert to fraction form
    7,199.51/11,269.55 = 11,269.55/x
  3. Step 3: Cross multiply
    7,199.51x = 11,269.55 × 11,269.55
  4. Step 4: Simplify right side
    7,199.51x = 127,002,686.77
  5. Step 5: Solve for x
    x = 127,002,686.77/7,199.51
  6. Step 6: Final answer
    x = 17,640.47

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.