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Finding the Third Proportional to 57,656 and 73,672

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Solution

The third proportional to 57,656 and 73,672 is: 94,137.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,656 : 73,672 = 73,672 : x
  2. Step 2: Convert to fraction form
    57,656/73,672 = 73,672/x
  3. Step 3: Cross multiply
    57,656x = 73,672 × 73,672
  4. Step 4: Simplify right side
    57,656x = 5,427,563,584
  5. Step 5: Solve for x
    x = 5,427,563,584/57,656
  6. Step 6: Final answer
    x = 94,137.01

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.