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Finding the Third Proportional to 15,435.38 and 23,794.31

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Solution

The third proportional to 15,435.38 and 23,794.31 is: 36,679.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,435.38 : 23,794.31 = 23,794.31 : x
  2. Step 2: Convert to fraction form
    15,435.38/23,794.31 = 23,794.31/x
  3. Step 3: Cross multiply
    15,435.38x = 23,794.31 × 23,794.31
  4. Step 4: Simplify right side
    15,435.38x = 566,169,307.35
  5. Step 5: Solve for x
    x = 566,169,307.35/15,435.38
  6. Step 6: Final answer
    x = 36,679.98

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.