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Finding the Third Proportional to 28,046 and 61,274

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Solution

The third proportional to 28,046 and 61,274 is: 133,869.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,046 : 61,274 = 61,274 : x
  2. Step 2: Convert to fraction form
    28,046/61,274 = 61,274/x
  3. Step 3: Cross multiply
    28,046x = 61,274 × 61,274
  4. Step 4: Simplify right side
    28,046x = 3,754,503,076
  5. Step 5: Solve for x
    x = 3,754,503,076/28,046
  6. Step 6: Final answer
    x = 133,869.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.