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Finding the Third Proportional to 4,947 and 7,832.25

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Solution

The third proportional to 4,947 and 7,832.25 is: 12,400.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947 : 7,832.25 = 7,832.25 : x
  2. Step 2: Convert to fraction form
    4,947/7,832.25 = 7,832.25/x
  3. Step 3: Cross multiply
    4,947x = 7,832.25 × 7,832.25
  4. Step 4: Simplify right side
    4,947x = 61,344,140.06
  5. Step 5: Solve for x
    x = 61,344,140.06/4,947
  6. Step 6: Final answer
    x = 12,400.27

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.