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Finding the Third Proportional to 42,653 and 59,662

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Solution

The third proportional to 42,653 and 59,662 is: 83,453.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,653 : 59,662 = 59,662 : x
  2. Step 2: Convert to fraction form
    42,653/59,662 = 59,662/x
  3. Step 3: Cross multiply
    42,653x = 59,662 × 59,662
  4. Step 4: Simplify right side
    42,653x = 3,559,554,244
  5. Step 5: Solve for x
    x = 3,559,554,244/42,653
  6. Step 6: Final answer
    x = 83,453.78

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.