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Finding the Third Proportional to 4,725.84 and 9,747.84

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Solution

The third proportional to 4,725.84 and 9,747.84 is: 20,106.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,725.84 : 9,747.84 = 9,747.84 : x
  2. Step 2: Convert to fraction form
    4,725.84/9,747.84 = 9,747.84/x
  3. Step 3: Cross multiply
    4,725.84x = 9,747.84 × 9,747.84
  4. Step 4: Simplify right side
    4,725.84x = 95,020,457.77
  5. Step 5: Solve for x
    x = 95,020,457.77/4,725.84
  6. Step 6: Final answer
    x = 20,106.56

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.