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Finding the Third Proportional to 4,472.30 and 9,712.83

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Solution

The third proportional to 4,472.30 and 9,712.83 is: 21,094.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.30 : 9,712.83 = 9,712.83 : x
  2. Step 2: Convert to fraction form
    4,472.30/9,712.83 = 9,712.83/x
  3. Step 3: Cross multiply
    4,472.30x = 9,712.83 × 9,712.83
  4. Step 4: Simplify right side
    4,472.30x = 94,339,030.19
  5. Step 5: Solve for x
    x = 94,339,030.19/4,472.30
  6. Step 6: Final answer
    x = 21,094.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.