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Finding the Third Proportional to 14,265 and 22,716

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Solution

The third proportional to 14,265 and 22,716 is: 36,173.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,265 : 22,716 = 22,716 : x
  2. Step 2: Convert to fraction form
    14,265/22,716 = 22,716/x
  3. Step 3: Cross multiply
    14,265x = 22,716 × 22,716
  4. Step 4: Simplify right side
    14,265x = 516,016,656
  5. Step 5: Solve for x
    x = 516,016,656/14,265
  6. Step 6: Final answer
    x = 36,173.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.