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Finding the Third Proportional to 6,115.50 and 16,569.56

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Solution

The third proportional to 6,115.50 and 16,569.56 is: 44,894.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,115.50 : 16,569.56 = 16,569.56 : x
  2. Step 2: Convert to fraction form
    6,115.50/16,569.56 = 16,569.56/x
  3. Step 3: Cross multiply
    6,115.50x = 16,569.56 × 16,569.56
  4. Step 4: Simplify right side
    6,115.50x = 274,550,401.44
  5. Step 5: Solve for x
    x = 274,550,401.44/6,115.50
  6. Step 6: Final answer
    x = 44,894.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.