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Finding the Third Proportional to 7,430 and 15,116

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Solution

The third proportional to 7,430 and 15,116 is: 30,752.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,430 : 15,116 = 15,116 : x
  2. Step 2: Convert to fraction form
    7,430/15,116 = 15,116/x
  3. Step 3: Cross multiply
    7,430x = 15,116 × 15,116
  4. Step 4: Simplify right side
    7,430x = 228,493,456
  5. Step 5: Solve for x
    x = 228,493,456/7,430
  6. Step 6: Final answer
    x = 30,752.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.