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Finding the Third Proportional to 6,543.28 and 14,521.78

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Solution

The third proportional to 6,543.28 and 14,521.78 is: 32,228.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.28 : 14,521.78 = 14,521.78 : x
  2. Step 2: Convert to fraction form
    6,543.28/14,521.78 = 14,521.78/x
  3. Step 3: Cross multiply
    6,543.28x = 14,521.78 × 14,521.78
  4. Step 4: Simplify right side
    6,543.28x = 210,882,130.67
  5. Step 5: Solve for x
    x = 210,882,130.67/6,543.28
  6. Step 6: Final answer
    x = 32,228.80

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.