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Finding the Third Proportional to 4,541.75 and 6,944.50

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Solution

The third proportional to 4,541.75 and 6,944.50 is: 10,618.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,541.75 : 6,944.50 = 6,944.50 : x
  2. Step 2: Convert to fraction form
    4,541.75/6,944.50 = 6,944.50/x
  3. Step 3: Cross multiply
    4,541.75x = 6,944.50 × 6,944.50
  4. Step 4: Simplify right side
    4,541.75x = 48,226,080.25
  5. Step 5: Solve for x
    x = 48,226,080.25/4,541.75
  6. Step 6: Final answer
    x = 10,618.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.