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Finding the Third Proportional to 6,571.13 and 15,710.63

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Solution

The third proportional to 6,571.13 and 15,710.63 is: 37,561.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.13 : 15,710.63 = 15,710.63 : x
  2. Step 2: Convert to fraction form
    6,571.13/15,710.63 = 15,710.63/x
  3. Step 3: Cross multiply
    6,571.13x = 15,710.63 × 15,710.63
  4. Step 4: Simplify right side
    6,571.13x = 246,823,737.89
  5. Step 5: Solve for x
    x = 246,823,737.89/6,571.13
  6. Step 6: Final answer
    x = 37,561.87

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.