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Finding the Third Proportional to 4,142.18 and 6,273.60

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Solution

The third proportional to 4,142.18 and 6,273.60 is: 9,501.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.18 : 6,273.60 = 6,273.60 : x
  2. Step 2: Convert to fraction form
    4,142.18/6,273.60 = 6,273.60/x
  3. Step 3: Cross multiply
    4,142.18x = 6,273.60 × 6,273.60
  4. Step 4: Simplify right side
    4,142.18x = 39,358,027.55
  5. Step 5: Solve for x
    x = 39,358,027.55/4,142.18
  6. Step 6: Final answer
    x = 9,501.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.