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Finding the Third Proportional to 1,929.94 and 4,060.69

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Solution

The third proportional to 1,929.94 and 4,060.69 is: 8,543.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.94 : 4,060.69 = 4,060.69 : x
  2. Step 2: Convert to fraction form
    1,929.94/4,060.69 = 4,060.69/x
  3. Step 3: Cross multiply
    1,929.94x = 4,060.69 × 4,060.69
  4. Step 4: Simplify right side
    1,929.94x = 16,489,182.97
  5. Step 5: Solve for x
    x = 16,489,182.97/1,929.94
  6. Step 6: Final answer
    x = 8,543.89

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.