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Finding the Third Proportional to 14,735 and 22,317

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Solution

The third proportional to 14,735 and 22,317 is: 33,800.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,735 : 22,317 = 22,317 : x
  2. Step 2: Convert to fraction form
    14,735/22,317 = 22,317/x
  3. Step 3: Cross multiply
    14,735x = 22,317 × 22,317
  4. Step 4: Simplify right side
    14,735x = 498,048,489
  5. Step 5: Solve for x
    x = 498,048,489/14,735
  6. Step 6: Final answer
    x = 33,800.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.