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Finding the Third Proportional to 28,596 and 60,645

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Solution

The third proportional to 28,596 and 60,645 is: 128,612.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,596 : 60,645 = 60,645 : x
  2. Step 2: Convert to fraction form
    28,596/60,645 = 60,645/x
  3. Step 3: Cross multiply
    28,596x = 60,645 × 60,645
  4. Step 4: Simplify right side
    28,596x = 3,677,816,025
  5. Step 5: Solve for x
    x = 3,677,816,025/28,596
  6. Step 6: Final answer
    x = 128,612.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.