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Finding the Third Proportional to 42,325.50 and 64,845

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Solution

The third proportional to 42,325.50 and 64,845 is: 99,346.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,325.50 : 64,845 = 64,845 : x
  2. Step 2: Convert to fraction form
    42,325.50/64,845 = 64,845/x
  3. Step 3: Cross multiply
    42,325.50x = 64,845 × 64,845
  4. Step 4: Simplify right side
    42,325.50x = 4,204,874,025
  5. Step 5: Solve for x
    x = 4,204,874,025/42,325.50
  6. Step 6: Final answer
    x = 99,346.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.