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Finding the Third Proportional to 4,612.50 and 6,924.38

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Solution

The third proportional to 4,612.50 and 6,924.38 is: 10,395.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.50 : 6,924.38 = 6,924.38 : x
  2. Step 2: Convert to fraction form
    4,612.50/6,924.38 = 6,924.38/x
  3. Step 3: Cross multiply
    4,612.50x = 6,924.38 × 6,924.38
  4. Step 4: Simplify right side
    4,612.50x = 47,946,969.14
  5. Step 5: Solve for x
    x = 47,946,969.14/4,612.50
  6. Step 6: Final answer
    x = 10,395.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.