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Finding the Third Proportional to 19,072 and 29,944

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Solution

The third proportional to 19,072 and 29,944 is: 47,013.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,072 : 29,944 = 29,944 : x
  2. Step 2: Convert to fraction form
    19,072/29,944 = 29,944/x
  3. Step 3: Cross multiply
    19,072x = 29,944 × 29,944
  4. Step 4: Simplify right side
    19,072x = 896,643,136
  5. Step 5: Solve for x
    x = 896,643,136/19,072
  6. Step 6: Final answer
    x = 47,013.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.