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Finding the Third Proportional to 35,571 and 54,895.50

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Solution

The third proportional to 35,571 and 54,895.50 is: 84,718.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,571 : 54,895.50 = 54,895.50 : x
  2. Step 2: Convert to fraction form
    35,571/54,895.50 = 54,895.50/x
  3. Step 3: Cross multiply
    35,571x = 54,895.50 × 54,895.50
  4. Step 4: Simplify right side
    35,571x = 3,013,515,920.25
  5. Step 5: Solve for x
    x = 3,013,515,920.25/35,571
  6. Step 6: Final answer
    x = 84,718.34

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.