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Finding the Third Proportional to 25,310 and 36,454

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Solution

The third proportional to 25,310 and 36,454 is: 52,504.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,310 : 36,454 = 36,454 : x
  2. Step 2: Convert to fraction form
    25,310/36,454 = 36,454/x
  3. Step 3: Cross multiply
    25,310x = 36,454 × 36,454
  4. Step 4: Simplify right side
    25,310x = 1,328,894,116
  5. Step 5: Solve for x
    x = 1,328,894,116/25,310
  6. Step 6: Final answer
    x = 52,504.71

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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.