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Finding the Third Proportional to 7,307.72 and 11,333.67

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Solution

The third proportional to 7,307.72 and 11,333.67 is: 17,577.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,307.72 : 11,333.67 = 11,333.67 : x
  2. Step 2: Convert to fraction form
    7,307.72/11,333.67 = 11,333.67/x
  3. Step 3: Cross multiply
    7,307.72x = 11,333.67 × 11,333.67
  4. Step 4: Simplify right side
    7,307.72x = 128,452,118.17
  5. Step 5: Solve for x
    x = 128,452,118.17/7,307.72
  6. Step 6: Final answer
    x = 17,577.59

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.