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Finding the Third Proportional to 15,741 and 22,035.38

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Solution

The third proportional to 15,741 and 22,035.38 is: 30,846.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,741 : 22,035.38 = 22,035.38 : x
  2. Step 2: Convert to fraction form
    15,741/22,035.38 = 22,035.38/x
  3. Step 3: Cross multiply
    15,741x = 22,035.38 × 22,035.38
  4. Step 4: Simplify right side
    15,741x = 485,557,751.39
  5. Step 5: Solve for x
    x = 485,557,751.39/15,741
  6. Step 6: Final answer
    x = 30,846.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.