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Finding the Third Proportional to 16,977 and 40,139

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Solution

The third proportional to 16,977 and 40,139 is: 94,901.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,977 : 40,139 = 40,139 : x
  2. Step 2: Convert to fraction form
    16,977/40,139 = 40,139/x
  3. Step 3: Cross multiply
    16,977x = 40,139 × 40,139
  4. Step 4: Simplify right side
    16,977x = 1,611,139,321
  5. Step 5: Solve for x
    x = 1,611,139,321/16,977
  6. Step 6: Final answer
    x = 94,901.30

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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.