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Finding the Third Proportional to 16,265.25 and 23,780.25

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Solution

The third proportional to 16,265.25 and 23,780.25 is: 34,767.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,265.25 : 23,780.25 = 23,780.25 : x
  2. Step 2: Convert to fraction form
    16,265.25/23,780.25 = 23,780.25/x
  3. Step 3: Cross multiply
    16,265.25x = 23,780.25 × 23,780.25
  4. Step 4: Simplify right side
    16,265.25x = 565,500,290.06
  5. Step 5: Solve for x
    x = 565,500,290.06/16,265.25
  6. Step 6: Final answer
    x = 34,767.39

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.