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Finding the Third Proportional to 28,152 and 61,893

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Solution

The third proportional to 28,152 and 61,893 is: 136,073.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,152 : 61,893 = 61,893 : x
  2. Step 2: Convert to fraction form
    28,152/61,893 = 61,893/x
  3. Step 3: Cross multiply
    28,152x = 61,893 × 61,893
  4. Step 4: Simplify right side
    28,152x = 3,830,743,449
  5. Step 5: Solve for x
    x = 3,830,743,449/28,152
  6. Step 6: Final answer
    x = 136,073.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.