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Finding the Third Proportional to 12,503 and 29,514

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Solution

The third proportional to 12,503 and 29,514 is: 69,669.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,503 : 29,514 = 29,514 : x
  2. Step 2: Convert to fraction form
    12,503/29,514 = 29,514/x
  3. Step 3: Cross multiply
    12,503x = 29,514 × 29,514
  4. Step 4: Simplify right side
    12,503x = 871,076,196
  5. Step 5: Solve for x
    x = 871,076,196/12,503
  6. Step 6: Final answer
    x = 69,669.38

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.