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Finding the Third Proportional to 19,311 and 29,013

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Solution

The third proportional to 19,311 and 29,013 is: 43,589.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,311 : 29,013 = 29,013 : x
  2. Step 2: Convert to fraction form
    19,311/29,013 = 29,013/x
  3. Step 3: Cross multiply
    19,311x = 29,013 × 29,013
  4. Step 4: Simplify right side
    19,311x = 841,754,169
  5. Step 5: Solve for x
    x = 841,754,169/19,311
  6. Step 6: Final answer
    x = 43,589.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.