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Finding the Third Proportional to 39,610 and 61,845

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Solution

The third proportional to 39,610 and 61,845 is: 96,561.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,610 : 61,845 = 61,845 : x
  2. Step 2: Convert to fraction form
    39,610/61,845 = 61,845/x
  3. Step 3: Cross multiply
    39,610x = 61,845 × 61,845
  4. Step 4: Simplify right side
    39,610x = 3,824,804,025
  5. Step 5: Solve for x
    x = 3,824,804,025/39,610
  6. Step 6: Final answer
    x = 96,561.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.