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Finding the Third Proportional to 28,364 and 60,314

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Solution

The third proportional to 28,364 and 60,314 is: 128,253.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,364 : 60,314 = 60,314 : x
  2. Step 2: Convert to fraction form
    28,364/60,314 = 60,314/x
  3. Step 3: Cross multiply
    28,364x = 60,314 × 60,314
  4. Step 4: Simplify right side
    28,364x = 3,637,778,596
  5. Step 5: Solve for x
    x = 3,637,778,596/28,364
  6. Step 6: Final answer
    x = 128,253.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.