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Finding the Third Proportional to 15,826 and 36,646

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Solution

The third proportional to 15,826 and 36,646 is: 84,855.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,826 : 36,646 = 36,646 : x
  2. Step 2: Convert to fraction form
    15,826/36,646 = 36,646/x
  3. Step 3: Cross multiply
    15,826x = 36,646 × 36,646
  4. Step 4: Simplify right side
    15,826x = 1,342,929,316
  5. Step 5: Solve for x
    x = 1,342,929,316/15,826
  6. Step 6: Final answer
    x = 84,855.89

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.