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Finding the Third Proportional to 25,512 and 37,490

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Solution

The third proportional to 25,512 and 37,490 is: 55,091.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,512 : 37,490 = 37,490 : x
  2. Step 2: Convert to fraction form
    25,512/37,490 = 37,490/x
  3. Step 3: Cross multiply
    25,512x = 37,490 × 37,490
  4. Step 4: Simplify right side
    25,512x = 1,405,500,100
  5. Step 5: Solve for x
    x = 1,405,500,100/25,512
  6. Step 6: Final answer
    x = 55,091.73

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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.