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Finding the Third Proportional to 25,238 and 35,297

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Solution

The third proportional to 25,238 and 35,297 is: 49,365.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,238 : 35,297 = 35,297 : x
  2. Step 2: Convert to fraction form
    25,238/35,297 = 35,297/x
  3. Step 3: Cross multiply
    25,238x = 35,297 × 35,297
  4. Step 4: Simplify right side
    25,238x = 1,245,878,209
  5. Step 5: Solve for x
    x = 1,245,878,209/25,238
  6. Step 6: Final answer
    x = 49,365.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.