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Finding the Third Proportional to 15,217.50 and 23,019

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Solution

The third proportional to 15,217.50 and 23,019 is: 34,820.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,217.50 : 23,019 = 23,019 : x
  2. Step 2: Convert to fraction form
    15,217.50/23,019 = 23,019/x
  3. Step 3: Cross multiply
    15,217.50x = 23,019 × 23,019
  4. Step 4: Simplify right side
    15,217.50x = 529,874,361
  5. Step 5: Solve for x
    x = 529,874,361/15,217.50
  6. Step 6: Final answer
    x = 34,820.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.