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Finding the Third Proportional to 15,217 and 22,861.50

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Solution

The third proportional to 15,217 and 22,861.50 is: 34,346.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,217 : 22,861.50 = 22,861.50 : x
  2. Step 2: Convert to fraction form
    15,217/22,861.50 = 22,861.50/x
  3. Step 3: Cross multiply
    15,217x = 22,861.50 × 22,861.50
  4. Step 4: Simplify right side
    15,217x = 522,648,182.25
  5. Step 5: Solve for x
    x = 522,648,182.25/15,217
  6. Step 6: Final answer
    x = 34,346.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.