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Finding the Third Proportional to 28,196 and 40,961

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Solution

The third proportional to 28,196 and 40,961 is: 59,505.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,196 : 40,961 = 40,961 : x
  2. Step 2: Convert to fraction form
    28,196/40,961 = 40,961/x
  3. Step 3: Cross multiply
    28,196x = 40,961 × 40,961
  4. Step 4: Simplify right side
    28,196x = 1,677,803,521
  5. Step 5: Solve for x
    x = 1,677,803,521/28,196
  6. Step 6: Final answer
    x = 59,505.02

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.