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Finding the Third Proportional to 15,337 and 34,155

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Solution

The third proportional to 15,337 and 34,155 is: 76,062.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,337 : 34,155 = 34,155 : x
  2. Step 2: Convert to fraction form
    15,337/34,155 = 34,155/x
  3. Step 3: Cross multiply
    15,337x = 34,155 × 34,155
  4. Step 4: Simplify right side
    15,337x = 1,166,564,025
  5. Step 5: Solve for x
    x = 1,166,564,025/15,337
  6. Step 6: Final answer
    x = 76,062.07

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.