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Finding the Third Proportional to 4,721.63 and 6,944.63

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Solution

The third proportional to 4,721.63 and 6,944.63 is: 10,214.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,721.63 : 6,944.63 = 6,944.63 : x
  2. Step 2: Convert to fraction form
    4,721.63/6,944.63 = 6,944.63/x
  3. Step 3: Cross multiply
    4,721.63x = 6,944.63 × 6,944.63
  4. Step 4: Simplify right side
    4,721.63x = 48,227,816.39
  5. Step 5: Solve for x
    x = 48,227,816.39/4,721.63
  6. Step 6: Final answer
    x = 10,214.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.