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Finding the Third Proportional to 28,285 and 61,490

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Solution

The third proportional to 28,285 and 61,490 is: 133,675.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,285 : 61,490 = 61,490 : x
  2. Step 2: Convert to fraction form
    28,285/61,490 = 61,490/x
  3. Step 3: Cross multiply
    28,285x = 61,490 × 61,490
  4. Step 4: Simplify right side
    28,285x = 3,781,020,100
  5. Step 5: Solve for x
    x = 3,781,020,100/28,285
  6. Step 6: Final answer
    x = 133,675.80

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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.