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Finding the Third Proportional to 42,682 and 64,610

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Solution

The third proportional to 42,682 and 64,610 is: 97,803.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,682 : 64,610 = 64,610 : x
  2. Step 2: Convert to fraction form
    42,682/64,610 = 64,610/x
  3. Step 3: Cross multiply
    42,682x = 64,610 × 64,610
  4. Step 4: Simplify right side
    42,682x = 4,174,452,100
  5. Step 5: Solve for x
    x = 4,174,452,100/42,682
  6. Step 6: Final answer
    x = 97,803.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.