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Finding the Third Proportional to 6,436.13 and 15,523.31

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Solution

The third proportional to 6,436.13 and 15,523.31 is: 37,440.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.13 : 15,523.31 = 15,523.31 : x
  2. Step 2: Convert to fraction form
    6,436.13/15,523.31 = 15,523.31/x
  3. Step 3: Cross multiply
    6,436.13x = 15,523.31 × 15,523.31
  4. Step 4: Simplify right side
    6,436.13x = 240,973,230.97
  5. Step 5: Solve for x
    x = 240,973,230.97/6,436.13
  6. Step 6: Final answer
    x = 37,440.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.