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Finding the Third Proportional to 34,534.75 and 51,589

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Solution

The third proportional to 34,534.75 and 51,589 is: 77,065.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,534.75 : 51,589 = 51,589 : x
  2. Step 2: Convert to fraction form
    34,534.75/51,589 = 51,589/x
  3. Step 3: Cross multiply
    34,534.75x = 51,589 × 51,589
  4. Step 4: Simplify right side
    34,534.75x = 2,661,424,921
  5. Step 5: Solve for x
    x = 2,661,424,921/34,534.75
  6. Step 6: Final answer
    x = 77,065.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.