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Finding the Third Proportional to 23,373 and 32,796

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Solution

The third proportional to 23,373 and 32,796 is: 46,017.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,373 : 32,796 = 32,796 : x
  2. Step 2: Convert to fraction form
    23,373/32,796 = 32,796/x
  3. Step 3: Cross multiply
    23,373x = 32,796 × 32,796
  4. Step 4: Simplify right side
    23,373x = 1,075,577,616
  5. Step 5: Solve for x
    x = 1,075,577,616/23,373
  6. Step 6: Final answer
    x = 46,017.95

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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.