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Finding the Third Proportional to 4,077.84 and 4,746.09

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Solution

The third proportional to 4,077.84 and 4,746.09 is: 5,523.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077.84 : 4,746.09 = 4,746.09 : x
  2. Step 2: Convert to fraction form
    4,077.84/4,746.09 = 4,746.09/x
  3. Step 3: Cross multiply
    4,077.84x = 4,746.09 × 4,746.09
  4. Step 4: Simplify right side
    4,077.84x = 22,525,405.88
  5. Step 5: Solve for x
    x = 22,525,405.88/4,077.84
  6. Step 6: Final answer
    x = 5,523.85

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.