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Finding the Third Proportional to 28,312 and 61,546

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Solution

The third proportional to 28,312 and 61,546 is: 133,791.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,312 : 61,546 = 61,546 : x
  2. Step 2: Convert to fraction form
    28,312/61,546 = 61,546/x
  3. Step 3: Cross multiply
    28,312x = 61,546 × 61,546
  4. Step 4: Simplify right side
    28,312x = 3,787,910,116
  5. Step 5: Solve for x
    x = 3,787,910,116/28,312
  6. Step 6: Final answer
    x = 133,791.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.