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Finding the Third Proportional to 16,985 and 37,246

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Solution

The third proportional to 16,985 and 37,246 is: 81,675.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,985 : 37,246 = 37,246 : x
  2. Step 2: Convert to fraction form
    16,985/37,246 = 37,246/x
  3. Step 3: Cross multiply
    16,985x = 37,246 × 37,246
  4. Step 4: Simplify right side
    16,985x = 1,387,264,516
  5. Step 5: Solve for x
    x = 1,387,264,516/16,985
  6. Step 6: Final answer
    x = 81,675.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.