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Finding the Third Proportional to 7,404.75 and 9,876.94

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Solution

The third proportional to 7,404.75 and 9,876.94 is: 13,174.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,404.75 : 9,876.94 = 9,876.94 : x
  2. Step 2: Convert to fraction form
    7,404.75/9,876.94 = 9,876.94/x
  3. Step 3: Cross multiply
    7,404.75x = 9,876.94 × 9,876.94
  4. Step 4: Simplify right side
    7,404.75x = 97,553,894.38
  5. Step 5: Solve for x
    x = 97,553,894.38/7,404.75
  6. Step 6: Final answer
    x = 13,174.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.