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Finding the Third Proportional to 14,316 and 31,944

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Solution

The third proportional to 14,316 and 31,944 is: 71,278.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,316 : 31,944 = 31,944 : x
  2. Step 2: Convert to fraction form
    14,316/31,944 = 31,944/x
  3. Step 3: Cross multiply
    14,316x = 31,944 × 31,944
  4. Step 4: Simplify right side
    14,316x = 1,020,419,136
  5. Step 5: Solve for x
    x = 1,020,419,136/14,316
  6. Step 6: Final answer
    x = 71,278.23

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.