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Finding the Third Proportional to 25,569 and 37,494

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Solution

The third proportional to 25,569 and 37,494 is: 54,980.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,569 : 37,494 = 37,494 : x
  2. Step 2: Convert to fraction form
    25,569/37,494 = 37,494/x
  3. Step 3: Cross multiply
    25,569x = 37,494 × 37,494
  4. Step 4: Simplify right side
    25,569x = 1,405,800,036
  5. Step 5: Solve for x
    x = 1,405,800,036/25,569
  6. Step 6: Final answer
    x = 54,980.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.