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Finding the Third Proportional to 2,929.50 and 5,207.63

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Solution

The third proportional to 2,929.50 and 5,207.63 is: 9,257.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929.50 : 5,207.63 = 5,207.63 : x
  2. Step 2: Convert to fraction form
    2,929.50/5,207.63 = 5,207.63/x
  3. Step 3: Cross multiply
    2,929.50x = 5,207.63 × 5,207.63
  4. Step 4: Simplify right side
    2,929.50x = 27,119,358.14
  5. Step 5: Solve for x
    x = 27,119,358.14/2,929.50
  6. Step 6: Final answer
    x = 9,257.33

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.