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Finding the Third Proportional to 15,909.75 and 23,633.44

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Solution

The third proportional to 15,909.75 and 23,633.44 is: 35,106.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,909.75 : 23,633.44 = 23,633.44 : x
  2. Step 2: Convert to fraction form
    15,909.75/23,633.44 = 23,633.44/x
  3. Step 3: Cross multiply
    15,909.75x = 23,633.44 × 23,633.44
  4. Step 4: Simplify right side
    15,909.75x = 558,539,368.07
  5. Step 5: Solve for x
    x = 558,539,368.07/15,909.75
  6. Step 6: Final answer
    x = 35,106.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.