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Finding the Third Proportional to 13,972.25 and 29,944

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Solution

The third proportional to 13,972.25 and 29,944 is: 64,173.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,972.25 : 29,944 = 29,944 : x
  2. Step 2: Convert to fraction form
    13,972.25/29,944 = 29,944/x
  3. Step 3: Cross multiply
    13,972.25x = 29,944 × 29,944
  4. Step 4: Simplify right side
    13,972.25x = 896,643,136
  5. Step 5: Solve for x
    x = 896,643,136/13,972.25
  6. Step 6: Final answer
    x = 64,173.14

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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.