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Finding the Third Proportional to 28,644 and 59,252

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Solution

The third proportional to 28,644 and 59,252 is: 122,566.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,644 : 59,252 = 59,252 : x
  2. Step 2: Convert to fraction form
    28,644/59,252 = 59,252/x
  3. Step 3: Cross multiply
    28,644x = 59,252 × 59,252
  4. Step 4: Simplify right side
    28,644x = 3,510,799,504
  5. Step 5: Solve for x
    x = 3,510,799,504/28,644
  6. Step 6: Final answer
    x = 122,566.66

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.