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Finding the Third Proportional to 5,802.19 and 9,236.81

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Solution

The third proportional to 5,802.19 and 9,236.81 is: 14,704.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.19 : 9,236.81 = 9,236.81 : x
  2. Step 2: Convert to fraction form
    5,802.19/9,236.81 = 9,236.81/x
  3. Step 3: Cross multiply
    5,802.19x = 9,236.81 × 9,236.81
  4. Step 4: Simplify right side
    5,802.19x = 85,318,705.16
  5. Step 5: Solve for x
    x = 85,318,705.16/5,802.19
  6. Step 6: Final answer
    x = 14,704.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.