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Finding the Third Proportional to 16,277 and 35,537

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Solution

The third proportional to 16,277 and 35,537 is: 77,586.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,277 : 35,537 = 35,537 : x
  2. Step 2: Convert to fraction form
    16,277/35,537 = 35,537/x
  3. Step 3: Cross multiply
    16,277x = 35,537 × 35,537
  4. Step 4: Simplify right side
    16,277x = 1,262,878,369
  5. Step 5: Solve for x
    x = 1,262,878,369/16,277
  6. Step 6: Final answer
    x = 77,586.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.