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Finding the Third Proportional to 17,989.50 and 37,413

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Solution

The third proportional to 17,989.50 and 37,413 is: 77,808.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,989.50 : 37,413 = 37,413 : x
  2. Step 2: Convert to fraction form
    17,989.50/37,413 = 37,413/x
  3. Step 3: Cross multiply
    17,989.50x = 37,413 × 37,413
  4. Step 4: Simplify right side
    17,989.50x = 1,399,732,569
  5. Step 5: Solve for x
    x = 1,399,732,569/17,989.50
  6. Step 6: Final answer
    x = 77,808.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.