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Finding the Third Proportional to 15,702 and 33,807

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Solution

The third proportional to 15,702 and 33,807 is: 72,787.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,702 : 33,807 = 33,807 : x
  2. Step 2: Convert to fraction form
    15,702/33,807 = 33,807/x
  3. Step 3: Cross multiply
    15,702x = 33,807 × 33,807
  4. Step 4: Simplify right side
    15,702x = 1,142,913,249
  5. Step 5: Solve for x
    x = 1,142,913,249/15,702
  6. Step 6: Final answer
    x = 72,787.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.