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Finding the Third Proportional to 5,098.45 and 7,179.89

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Solution

The third proportional to 5,098.45 and 7,179.89 is: 10,111.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.45 : 7,179.89 = 7,179.89 : x
  2. Step 2: Convert to fraction form
    5,098.45/7,179.89 = 7,179.89/x
  3. Step 3: Cross multiply
    5,098.45x = 7,179.89 × 7,179.89
  4. Step 4: Simplify right side
    5,098.45x = 51,550,829.39
  5. Step 5: Solve for x
    x = 51,550,829.39/5,098.45
  6. Step 6: Final answer
    x = 10,111.07

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.