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Finding the Third Proportional to 14,609 and 23,735

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Solution

The third proportional to 14,609 and 23,735 is: 38,561.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,609 : 23,735 = 23,735 : x
  2. Step 2: Convert to fraction form
    14,609/23,735 = 23,735/x
  3. Step 3: Cross multiply
    14,609x = 23,735 × 23,735
  4. Step 4: Simplify right side
    14,609x = 563,350,225
  5. Step 5: Solve for x
    x = 563,350,225/14,609
  6. Step 6: Final answer
    x = 38,561.86

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.