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Finding the Third Proportional to 14,826 and 32,569

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Solution

The third proportional to 14,826 and 32,569 is: 71,545.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,826 : 32,569 = 32,569 : x
  2. Step 2: Convert to fraction form
    14,826/32,569 = 32,569/x
  3. Step 3: Cross multiply
    14,826x = 32,569 × 32,569
  4. Step 4: Simplify right side
    14,826x = 1,060,739,761
  5. Step 5: Solve for x
    x = 1,060,739,761/14,826
  6. Step 6: Final answer
    x = 71,545.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.