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Finding the Third Proportional to 38,461 and 83,072.75

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Solution

The third proportional to 38,461 and 83,072.75 is: 179,430.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,461 : 83,072.75 = 83,072.75 : x
  2. Step 2: Convert to fraction form
    38,461/83,072.75 = 83,072.75/x
  3. Step 3: Cross multiply
    38,461x = 83,072.75 × 83,072.75
  4. Step 4: Simplify right side
    38,461x = 6,901,081,792.56
  5. Step 5: Solve for x
    x = 6,901,081,792.56/38,461
  6. Step 6: Final answer
    x = 179,430.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.