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Finding the Third Proportional to 35,230 and 55,002

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Solution

The third proportional to 35,230 and 55,002 is: 85,870.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,230 : 55,002 = 55,002 : x
  2. Step 2: Convert to fraction form
    35,230/55,002 = 55,002/x
  3. Step 3: Cross multiply
    35,230x = 55,002 × 55,002
  4. Step 4: Simplify right side
    35,230x = 3,025,220,004
  5. Step 5: Solve for x
    x = 3,025,220,004/35,230
  6. Step 6: Final answer
    x = 85,870.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.