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Finding the Third Proportional to 14,347 and 21,514

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Solution

The third proportional to 14,347 and 21,514 is: 32,261.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,347 : 21,514 = 21,514 : x
  2. Step 2: Convert to fraction form
    14,347/21,514 = 21,514/x
  3. Step 3: Cross multiply
    14,347x = 21,514 × 21,514
  4. Step 4: Simplify right side
    14,347x = 462,852,196
  5. Step 5: Solve for x
    x = 462,852,196/14,347
  6. Step 6: Final answer
    x = 32,261.25

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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.