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Finding the Third Proportional to 7,817.06 and 11,792.81

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Solution

The third proportional to 7,817.06 and 11,792.81 is: 17,790.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.06 : 11,792.81 = 11,792.81 : x
  2. Step 2: Convert to fraction form
    7,817.06/11,792.81 = 11,792.81/x
  3. Step 3: Cross multiply
    7,817.06x = 11,792.81 × 11,792.81
  4. Step 4: Simplify right side
    7,817.06x = 139,070,426.66
  5. Step 5: Solve for x
    x = 139,070,426.66/7,817.06
  6. Step 6: Final answer
    x = 17,790.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.