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Finding the Third Proportional to 14,364 and 21,561.75

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Solution

The third proportional to 14,364 and 21,561.75 is: 32,366.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,364 : 21,561.75 = 21,561.75 : x
  2. Step 2: Convert to fraction form
    14,364/21,561.75 = 21,561.75/x
  3. Step 3: Cross multiply
    14,364x = 21,561.75 × 21,561.75
  4. Step 4: Simplify right side
    14,364x = 464,909,063.06
  5. Step 5: Solve for x
    x = 464,909,063.06/14,364
  6. Step 6: Final answer
    x = 32,366.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.