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Finding the Third Proportional to 4,926 and 10,944

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Solution

The third proportional to 4,926 and 10,944 is: 24,314.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,926 : 10,944 = 10,944 : x
  2. Step 2: Convert to fraction form
    4,926/10,944 = 10,944/x
  3. Step 3: Cross multiply
    4,926x = 10,944 × 10,944
  4. Step 4: Simplify right side
    4,926x = 119,771,136
  5. Step 5: Solve for x
    x = 119,771,136/4,926
  6. Step 6: Final answer
    x = 24,314.08

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.