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Finding the Third Proportional to 4,865.06 and 7,307.72

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Solution

The third proportional to 4,865.06 and 7,307.72 is: 10,976.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865.06 : 7,307.72 = 7,307.72 : x
  2. Step 2: Convert to fraction form
    4,865.06/7,307.72 = 7,307.72/x
  3. Step 3: Cross multiply
    4,865.06x = 7,307.72 × 7,307.72
  4. Step 4: Simplify right side
    4,865.06x = 53,402,753.33
  5. Step 5: Solve for x
    x = 53,402,753.33/4,865.06
  6. Step 6: Final answer
    x = 10,976.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.