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Finding the Third Proportional to 15,705 and 33,684.75

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Solution

The third proportional to 15,705 and 33,684.75 is: 72,248.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705 : 33,684.75 = 33,684.75 : x
  2. Step 2: Convert to fraction form
    15,705/33,684.75 = 33,684.75/x
  3. Step 3: Cross multiply
    15,705x = 33,684.75 × 33,684.75
  4. Step 4: Simplify right side
    15,705x = 1,134,662,382.56
  5. Step 5: Solve for x
    x = 1,134,662,382.56/15,705
  6. Step 6: Final answer
    x = 72,248.48

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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.