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Finding the Third Proportional to 28,112 and 58,822

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Solution

The third proportional to 28,112 and 58,822 is: 123,080.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,112 : 58,822 = 58,822 : x
  2. Step 2: Convert to fraction form
    28,112/58,822 = 58,822/x
  3. Step 3: Cross multiply
    28,112x = 58,822 × 58,822
  4. Step 4: Simplify right side
    28,112x = 3,460,027,684
  5. Step 5: Solve for x
    x = 3,460,027,684/28,112
  6. Step 6: Final answer
    x = 123,080.10

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.