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Finding the Third Proportional to 9,726 and 14,832

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Solution

The third proportional to 9,726 and 14,832 is: 22,618.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726 : 14,832 = 14,832 : x
  2. Step 2: Convert to fraction form
    9,726/14,832 = 14,832/x
  3. Step 3: Cross multiply
    9,726x = 14,832 × 14,832
  4. Step 4: Simplify right side
    9,726x = 219,988,224
  5. Step 5: Solve for x
    x = 219,988,224/9,726
  6. Step 6: Final answer
    x = 22,618.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.