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Finding the Third Proportional to 14,558 and 31,735

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Solution

The third proportional to 14,558 and 31,735 is: 69,179.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,558 : 31,735 = 31,735 : x
  2. Step 2: Convert to fraction form
    14,558/31,735 = 31,735/x
  3. Step 3: Cross multiply
    14,558x = 31,735 × 31,735
  4. Step 4: Simplify right side
    14,558x = 1,007,110,225
  5. Step 5: Solve for x
    x = 1,007,110,225/14,558
  6. Step 6: Final answer
    x = 69,179.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.