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Finding the Third Proportional to 16,410 and 39,381

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Solution

The third proportional to 16,410 and 39,381 is: 94,507.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,410 : 39,381 = 39,381 : x
  2. Step 2: Convert to fraction form
    16,410/39,381 = 39,381/x
  3. Step 3: Cross multiply
    16,410x = 39,381 × 39,381
  4. Step 4: Simplify right side
    16,410x = 1,550,863,161
  5. Step 5: Solve for x
    x = 1,550,863,161/16,410
  6. Step 6: Final answer
    x = 94,507.20

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.