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Finding the Third Proportional to 25,569 and 36,841.50

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Solution

The third proportional to 25,569 and 36,841.50 is: 53,083.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,569 : 36,841.50 = 36,841.50 : x
  2. Step 2: Convert to fraction form
    25,569/36,841.50 = 36,841.50/x
  3. Step 3: Cross multiply
    25,569x = 36,841.50 × 36,841.50
  4. Step 4: Simplify right side
    25,569x = 1,357,296,122.25
  5. Step 5: Solve for x
    x = 1,357,296,122.25/25,569
  6. Step 6: Final answer
    x = 53,083.66

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.