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Finding the Third Proportional to 3,797.30 and 7,897.08

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Solution

The third proportional to 3,797.30 and 7,897.08 is: 16,423.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.30 : 7,897.08 = 7,897.08 : x
  2. Step 2: Convert to fraction form
    3,797.30/7,897.08 = 7,897.08/x
  3. Step 3: Cross multiply
    3,797.30x = 7,897.08 × 7,897.08
  4. Step 4: Simplify right side
    3,797.30x = 62,363,842.91
  5. Step 5: Solve for x
    x = 62,363,842.91/3,797.30
  6. Step 6: Final answer
    x = 16,423.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.