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Finding the Third Proportional to 14,569 and 23,120

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Solution

The third proportional to 14,569 and 23,120 is: 36,689.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,569 : 23,120 = 23,120 : x
  2. Step 2: Convert to fraction form
    14,569/23,120 = 23,120/x
  3. Step 3: Cross multiply
    14,569x = 23,120 × 23,120
  4. Step 4: Simplify right side
    14,569x = 534,534,400
  5. Step 5: Solve for x
    x = 534,534,400/14,569
  6. Step 6: Final answer
    x = 36,689.85

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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.