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Finding the Third Proportional to 19,857 and 29,514

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Solution

The third proportional to 19,857 and 29,514 is: 43,867.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,857 : 29,514 = 29,514 : x
  2. Step 2: Convert to fraction form
    19,857/29,514 = 29,514/x
  3. Step 3: Cross multiply
    19,857x = 29,514 × 29,514
  4. Step 4: Simplify right side
    19,857x = 871,076,196
  5. Step 5: Solve for x
    x = 871,076,196/19,857
  6. Step 6: Final answer
    x = 43,867.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.