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Finding the Third Proportional to 15,657.33 and 32,853.09

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Solution

The third proportional to 15,657.33 and 32,853.09 is: 68,934.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,657.33 : 32,853.09 = 32,853.09 : x
  2. Step 2: Convert to fraction form
    15,657.33/32,853.09 = 32,853.09/x
  3. Step 3: Cross multiply
    15,657.33x = 32,853.09 × 32,853.09
  4. Step 4: Simplify right side
    15,657.33x = 1,079,325,768.95
  5. Step 5: Solve for x
    x = 1,079,325,768.95/15,657.33
  6. Step 6: Final answer
    x = 68,934.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.