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Finding the Third Proportional to 6,265.69 and 7,981.03

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Solution

The third proportional to 6,265.69 and 7,981.03 is: 10,165.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.69 : 7,981.03 = 7,981.03 : x
  2. Step 2: Convert to fraction form
    6,265.69/7,981.03 = 7,981.03/x
  3. Step 3: Cross multiply
    6,265.69x = 7,981.03 × 7,981.03
  4. Step 4: Simplify right side
    6,265.69x = 63,696,859.81
  5. Step 5: Solve for x
    x = 63,696,859.81/6,265.69
  6. Step 6: Final answer
    x = 10,165.98

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.