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Finding the Third Proportional to 43,112 and 64,828

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Solution

The third proportional to 43,112 and 64,828 is: 97,482.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,112 : 64,828 = 64,828 : x
  2. Step 2: Convert to fraction form
    43,112/64,828 = 64,828/x
  3. Step 3: Cross multiply
    43,112x = 64,828 × 64,828
  4. Step 4: Simplify right side
    43,112x = 4,202,669,584
  5. Step 5: Solve for x
    x = 4,202,669,584/43,112
  6. Step 6: Final answer
    x = 97,482.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.