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Finding the Third Proportional to 33,502.50 and 50,076

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Solution

The third proportional to 33,502.50 and 50,076 is: 74,848.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,502.50 : 50,076 = 50,076 : x
  2. Step 2: Convert to fraction form
    33,502.50/50,076 = 50,076/x
  3. Step 3: Cross multiply
    33,502.50x = 50,076 × 50,076
  4. Step 4: Simplify right side
    33,502.50x = 2,507,605,776
  5. Step 5: Solve for x
    x = 2,507,605,776/33,502.50
  6. Step 6: Final answer
    x = 74,848.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.