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Finding the Third Proportional to 5,734.13 and 13,808.81

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Solution

The third proportional to 5,734.13 and 13,808.81 is: 33,254.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.13 : 13,808.81 = 13,808.81 : x
  2. Step 2: Convert to fraction form
    5,734.13/13,808.81 = 13,808.81/x
  3. Step 3: Cross multiply
    5,734.13x = 13,808.81 × 13,808.81
  4. Step 4: Simplify right side
    5,734.13x = 190,683,302.66
  5. Step 5: Solve for x
    x = 190,683,302.66/5,734.13
  6. Step 6: Final answer
    x = 33,254.12

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.