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Finding the Third Proportional to 5,892.19 and 12,706.81

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Solution

The third proportional to 5,892.19 and 12,706.81 is: 27,402.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.19 : 12,706.81 = 12,706.81 : x
  2. Step 2: Convert to fraction form
    5,892.19/12,706.81 = 12,706.81/x
  3. Step 3: Cross multiply
    5,892.19x = 12,706.81 × 12,706.81
  4. Step 4: Simplify right side
    5,892.19x = 161,463,083.91
  5. Step 5: Solve for x
    x = 161,463,083.91/5,892.19
  6. Step 6: Final answer
    x = 27,402.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.