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Finding the Third Proportional to 9,799.50 and 14,929.59

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Solution

The third proportional to 9,799.50 and 14,929.59 is: 22,745.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.50 : 14,929.59 = 14,929.59 : x
  2. Step 2: Convert to fraction form
    9,799.50/14,929.59 = 14,929.59/x
  3. Step 3: Cross multiply
    9,799.50x = 14,929.59 × 14,929.59
  4. Step 4: Simplify right side
    9,799.50x = 222,892,769.54
  5. Step 5: Solve for x
    x = 222,892,769.54/9,799.50
  6. Step 6: Final answer
    x = 22,745.32

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.