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Finding the Third Proportional to 13,065 and 30,836.50

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Solution

The third proportional to 13,065 and 30,836.50 is: 72,781.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,065 : 30,836.50 = 30,836.50 : x
  2. Step 2: Convert to fraction form
    13,065/30,836.50 = 30,836.50/x
  3. Step 3: Cross multiply
    13,065x = 30,836.50 × 30,836.50
  4. Step 4: Simplify right side
    13,065x = 950,889,732.25
  5. Step 5: Solve for x
    x = 950,889,732.25/13,065
  6. Step 6: Final answer
    x = 72,781.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.