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Finding the Third Proportional to 11,643 and 16,635.75

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Solution

The third proportional to 11,643 and 16,635.75 is: 23,769.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643 : 16,635.75 = 16,635.75 : x
  2. Step 2: Convert to fraction form
    11,643/16,635.75 = 16,635.75/x
  3. Step 3: Cross multiply
    11,643x = 16,635.75 × 16,635.75
  4. Step 4: Simplify right side
    11,643x = 276,748,178.06
  5. Step 5: Solve for x
    x = 276,748,178.06/11,643
  6. Step 6: Final answer
    x = 23,769.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.