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Finding the Third Proportional to 25,196 and 35,226

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Solution

The third proportional to 25,196 and 35,226 is: 49,248.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,196 : 35,226 = 35,226 : x
  2. Step 2: Convert to fraction form
    25,196/35,226 = 35,226/x
  3. Step 3: Cross multiply
    25,196x = 35,226 × 35,226
  4. Step 4: Simplify right side
    25,196x = 1,240,871,076
  5. Step 5: Solve for x
    x = 1,240,871,076/25,196
  6. Step 6: Final answer
    x = 49,248.73

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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.