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Finding the Third Proportional to 25,504 and 34,206

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Solution

The third proportional to 25,504 and 34,206 is: 45,877.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,504 : 34,206 = 34,206 : x
  2. Step 2: Convert to fraction form
    25,504/34,206 = 34,206/x
  3. Step 3: Cross multiply
    25,504x = 34,206 × 34,206
  4. Step 4: Simplify right side
    25,504x = 1,170,050,436
  5. Step 5: Solve for x
    x = 1,170,050,436/25,504
  6. Step 6: Final answer
    x = 45,877.13

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.