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Finding the Third Proportional to 35,847 and 52,502.63

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Solution

The third proportional to 35,847 and 52,502.63 is: 76,896.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,847 : 52,502.63 = 52,502.63 : x
  2. Step 2: Convert to fraction form
    35,847/52,502.63 = 52,502.63/x
  3. Step 3: Cross multiply
    35,847x = 52,502.63 × 52,502.63
  4. Step 4: Simplify right side
    35,847x = 2,756,525,631.89
  5. Step 5: Solve for x
    x = 2,756,525,631.89/35,847
  6. Step 6: Final answer
    x = 76,896.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.