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Finding the Third Proportional to 2,705.91 and 4,113.84

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Solution

The third proportional to 2,705.91 and 4,113.84 is: 6,254.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.91 : 4,113.84 = 4,113.84 : x
  2. Step 2: Convert to fraction form
    2,705.91/4,113.84 = 4,113.84/x
  3. Step 3: Cross multiply
    2,705.91x = 4,113.84 × 4,113.84
  4. Step 4: Simplify right side
    2,705.91x = 16,923,710.40
  5. Step 5: Solve for x
    x = 16,923,710.40/2,705.91
  6. Step 6: Final answer
    x = 6,254.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.