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Finding the Third Proportional to 15,853 and 33,955

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Solution

The third proportional to 15,853 and 33,955 is: 72,727.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,853 : 33,955 = 33,955 : x
  2. Step 2: Convert to fraction form
    15,853/33,955 = 33,955/x
  3. Step 3: Cross multiply
    15,853x = 33,955 × 33,955
  4. Step 4: Simplify right side
    15,853x = 1,152,942,025
  5. Step 5: Solve for x
    x = 1,152,942,025/15,853
  6. Step 6: Final answer
    x = 72,727.06

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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.