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Finding the Third Proportional to 42,984 and 94,533.75

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Solution

The third proportional to 42,984 and 94,533.75 is: 207,905.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,984 : 94,533.75 = 94,533.75 : x
  2. Step 2: Convert to fraction form
    42,984/94,533.75 = 94,533.75/x
  3. Step 3: Cross multiply
    42,984x = 94,533.75 × 94,533.75
  4. Step 4: Simplify right side
    42,984x = 8,936,629,889.06
  5. Step 5: Solve for x
    x = 8,936,629,889.06/42,984
  6. Step 6: Final answer
    x = 207,905.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.