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Finding the Third Proportional to 6,469.88 and 15,798.80

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Solution

The third proportional to 6,469.88 and 15,798.80 is: 38,579.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.88 : 15,798.80 = 15,798.80 : x
  2. Step 2: Convert to fraction form
    6,469.88/15,798.80 = 15,798.80/x
  3. Step 3: Cross multiply
    6,469.88x = 15,798.80 × 15,798.80
  4. Step 4: Simplify right side
    6,469.88x = 249,601,982.70
  5. Step 5: Solve for x
    x = 249,601,982.70/6,469.88
  6. Step 6: Final answer
    x = 38,579.10

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.