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Finding the Third Proportional to 35,071 and 49,330.50

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Solution

The third proportional to 35,071 and 49,330.50 is: 69,387.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,071 : 49,330.50 = 49,330.50 : x
  2. Step 2: Convert to fraction form
    35,071/49,330.50 = 49,330.50/x
  3. Step 3: Cross multiply
    35,071x = 49,330.50 × 49,330.50
  4. Step 4: Simplify right side
    35,071x = 2,433,498,230.25
  5. Step 5: Solve for x
    x = 2,433,498,230.25/35,071
  6. Step 6: Final answer
    x = 69,387.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.