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Finding the Third Proportional to 34,970 and 55,458

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Solution

The third proportional to 34,970 and 55,458 is: 87,949.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,970 : 55,458 = 55,458 : x
  2. Step 2: Convert to fraction form
    34,970/55,458 = 55,458/x
  3. Step 3: Cross multiply
    34,970x = 55,458 × 55,458
  4. Step 4: Simplify right side
    34,970x = 3,075,589,764
  5. Step 5: Solve for x
    x = 3,075,589,764/34,970
  6. Step 6: Final answer
    x = 87,949.38

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.