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Finding the Third Proportional to 7,586 and 15,778

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Solution

The third proportional to 7,586 and 15,778 is: 32,816.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586 : 15,778 = 15,778 : x
  2. Step 2: Convert to fraction form
    7,586/15,778 = 15,778/x
  3. Step 3: Cross multiply
    7,586x = 15,778 × 15,778
  4. Step 4: Simplify right side
    7,586x = 248,945,284
  5. Step 5: Solve for x
    x = 248,945,284/7,586
  6. Step 6: Final answer
    x = 32,816.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.