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Finding the Third Proportional to 4,844.38 and 10,349.63

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Solution

The third proportional to 4,844.38 and 10,349.63 is: 22,111.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,844.38 : 10,349.63 = 10,349.63 : x
  2. Step 2: Convert to fraction form
    4,844.38/10,349.63 = 10,349.63/x
  3. Step 3: Cross multiply
    4,844.38x = 10,349.63 × 10,349.63
  4. Step 4: Simplify right side
    4,844.38x = 107,114,737.64
  5. Step 5: Solve for x
    x = 107,114,737.64/4,844.38
  6. Step 6: Final answer
    x = 22,111.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.