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Finding the Third Proportional to 19,724 and 29,514

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Solution

The third proportional to 19,724 and 29,514 is: 44,163.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,724 : 29,514 = 29,514 : x
  2. Step 2: Convert to fraction form
    19,724/29,514 = 29,514/x
  3. Step 3: Cross multiply
    19,724x = 29,514 × 29,514
  4. Step 4: Simplify right side
    19,724x = 871,076,196
  5. Step 5: Solve for x
    x = 871,076,196/19,724
  6. Step 6: Final answer
    x = 44,163.26

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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.