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Finding the Third Proportional to 4,779.84 and 10,251.84

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Solution

The third proportional to 4,779.84 and 10,251.84 is: 21,988.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,779.84 : 10,251.84 = 10,251.84 : x
  2. Step 2: Convert to fraction form
    4,779.84/10,251.84 = 10,251.84/x
  3. Step 3: Cross multiply
    4,779.84x = 10,251.84 × 10,251.84
  4. Step 4: Simplify right side
    4,779.84x = 105,100,300.27
  5. Step 5: Solve for x
    x = 105,100,300.27/4,779.84
  6. Step 6: Final answer
    x = 21,988.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.