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Finding the Third Proportional to 4,873.78 and 6,969.75

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Solution

The third proportional to 4,873.78 and 6,969.75 is: 9,967.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,873.78 : 6,969.75 = 6,969.75 : x
  2. Step 2: Convert to fraction form
    4,873.78/6,969.75 = 6,969.75/x
  3. Step 3: Cross multiply
    4,873.78x = 6,969.75 × 6,969.75
  4. Step 4: Simplify right side
    4,873.78x = 48,577,415.06
  5. Step 5: Solve for x
    x = 48,577,415.06/4,873.78
  6. Step 6: Final answer
    x = 9,967.09

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.