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Finding the Third Proportional to 5,954.34 and 8,753.34

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Solution

The third proportional to 5,954.34 and 8,753.34 is: 12,868.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,954.34 : 8,753.34 = 8,753.34 : x
  2. Step 2: Convert to fraction form
    5,954.34/8,753.34 = 8,753.34/x
  3. Step 3: Cross multiply
    5,954.34x = 8,753.34 × 8,753.34
  4. Step 4: Simplify right side
    5,954.34x = 76,621,026.81
  5. Step 5: Solve for x
    x = 76,621,026.81/5,954.34
  6. Step 6: Final answer
    x = 12,868.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.