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Finding the Third Proportional to 3,971.53 and 6,558.47

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Solution

The third proportional to 3,971.53 and 6,558.47 is: 10,830.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.53 : 6,558.47 = 6,558.47 : x
  2. Step 2: Convert to fraction form
    3,971.53/6,558.47 = 6,558.47/x
  3. Step 3: Cross multiply
    3,971.53x = 6,558.47 × 6,558.47
  4. Step 4: Simplify right side
    3,971.53x = 43,013,512.34
  5. Step 5: Solve for x
    x = 43,013,512.34/3,971.53
  6. Step 6: Final answer
    x = 10,830.46

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.