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Finding the Third Proportional to 4,981.62 and 7,477.23

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Solution

The third proportional to 4,981.62 and 7,477.23 is: 11,223.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,981.62 : 7,477.23 = 7,477.23 : x
  2. Step 2: Convert to fraction form
    4,981.62/7,477.23 = 7,477.23/x
  3. Step 3: Cross multiply
    4,981.62x = 7,477.23 × 7,477.23
  4. Step 4: Simplify right side
    4,981.62x = 55,909,019.29
  5. Step 5: Solve for x
    x = 55,909,019.29/4,981.62
  6. Step 6: Final answer
    x = 11,223.06

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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.