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Finding the Third Proportional to 28,341 and 58,729

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Solution

The third proportional to 28,341 and 58,729 is: 121,699.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,341 : 58,729 = 58,729 : x
  2. Step 2: Convert to fraction form
    28,341/58,729 = 58,729/x
  3. Step 3: Cross multiply
    28,341x = 58,729 × 58,729
  4. Step 4: Simplify right side
    28,341x = 3,449,095,441
  5. Step 5: Solve for x
    x = 3,449,095,441/28,341
  6. Step 6: Final answer
    x = 121,699.85

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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.