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Finding the Third Proportional to 9,152 and 11,616

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Solution

The third proportional to 9,152 and 11,616 is: 14,743.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152 : 11,616 = 11,616 : x
  2. Step 2: Convert to fraction form
    9,152/11,616 = 11,616/x
  3. Step 3: Cross multiply
    9,152x = 11,616 × 11,616
  4. Step 4: Simplify right side
    9,152x = 134,931,456
  5. Step 5: Solve for x
    x = 134,931,456/9,152
  6. Step 6: Final answer
    x = 14,743.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.