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Finding the Third Proportional to 15,218 and 32,779

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Solution

The third proportional to 15,218 and 32,779 is: 70,604.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,218 : 32,779 = 32,779 : x
  2. Step 2: Convert to fraction form
    15,218/32,779 = 32,779/x
  3. Step 3: Cross multiply
    15,218x = 32,779 × 32,779
  4. Step 4: Simplify right side
    15,218x = 1,074,462,841
  5. Step 5: Solve for x
    x = 1,074,462,841/15,218
  6. Step 6: Final answer
    x = 70,604.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.