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Finding the Third Proportional to 4,872.70 and 9,053.41

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Solution

The third proportional to 4,872.70 and 9,053.41 is: 16,821.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.70 : 9,053.41 = 9,053.41 : x
  2. Step 2: Convert to fraction form
    4,872.70/9,053.41 = 9,053.41/x
  3. Step 3: Cross multiply
    4,872.70x = 9,053.41 × 9,053.41
  4. Step 4: Simplify right side
    4,872.70x = 81,964,253.14
  5. Step 5: Solve for x
    x = 81,964,253.14/4,872.70
  6. Step 6: Final answer
    x = 16,821.13

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.