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Finding the Third Proportional to 16,260.75 and 21,758.63

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Solution

The third proportional to 16,260.75 and 21,758.63 is: 29,115.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,260.75 : 21,758.63 = 21,758.63 : x
  2. Step 2: Convert to fraction form
    16,260.75/21,758.63 = 21,758.63/x
  3. Step 3: Cross multiply
    16,260.75x = 21,758.63 × 21,758.63
  4. Step 4: Simplify right side
    16,260.75x = 473,437,761.89
  5. Step 5: Solve for x
    x = 473,437,761.89/16,260.75
  6. Step 6: Final answer
    x = 29,115.37

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.