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Finding the Third Proportional to 19,932.50 and 42,727

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Solution

The third proportional to 19,932.50 and 42,727 is: 91,588.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,932.50 : 42,727 = 42,727 : x
  2. Step 2: Convert to fraction form
    19,932.50/42,727 = 42,727/x
  3. Step 3: Cross multiply
    19,932.50x = 42,727 × 42,727
  4. Step 4: Simplify right side
    19,932.50x = 1,825,596,529
  5. Step 5: Solve for x
    x = 1,825,596,529/19,932.50
  6. Step 6: Final answer
    x = 91,588.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.