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Finding the Third Proportional to 2,929.50 and 5,415.19

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Solution

The third proportional to 2,929.50 and 5,415.19 is: 10,009.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929.50 : 5,415.19 = 5,415.19 : x
  2. Step 2: Convert to fraction form
    2,929.50/5,415.19 = 5,415.19/x
  3. Step 3: Cross multiply
    2,929.50x = 5,415.19 × 5,415.19
  4. Step 4: Simplify right side
    2,929.50x = 29,324,255.66
  5. Step 5: Solve for x
    x = 29,324,255.66/2,929.50
  6. Step 6: Final answer
    x = 10,009.99

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.