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Finding the Third Proportional to 11,332 and 14,766

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Solution

The third proportional to 11,332 and 14,766 is: 19,240.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,332 : 14,766 = 14,766 : x
  2. Step 2: Convert to fraction form
    11,332/14,766 = 14,766/x
  3. Step 3: Cross multiply
    11,332x = 14,766 × 14,766
  4. Step 4: Simplify right side
    11,332x = 218,034,756
  5. Step 5: Solve for x
    x = 218,034,756/11,332
  6. Step 6: Final answer
    x = 19,240.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.