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Finding the Third Proportional to 16,075.97 and 25,142.91

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Solution

The third proportional to 16,075.97 and 25,142.91 is: 39,323.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,075.97 : 25,142.91 = 25,142.91 : x
  2. Step 2: Convert to fraction form
    16,075.97/25,142.91 = 25,142.91/x
  3. Step 3: Cross multiply
    16,075.97x = 25,142.91 × 25,142.91
  4. Step 4: Simplify right side
    16,075.97x = 632,165,734.70
  5. Step 5: Solve for x
    x = 632,165,734.70/16,075.97
  6. Step 6: Final answer
    x = 39,323.65

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.