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Finding the Third Proportional to 12,419 and 28,371

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Solution

The third proportional to 12,419 and 28,371 is: 64,813.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,419 : 28,371 = 28,371 : x
  2. Step 2: Convert to fraction form
    12,419/28,371 = 28,371/x
  3. Step 3: Cross multiply
    12,419x = 28,371 × 28,371
  4. Step 4: Simplify right side
    12,419x = 804,913,641
  5. Step 5: Solve for x
    x = 804,913,641/12,419
  6. Step 6: Final answer
    x = 64,813.08

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.