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Finding the Third Proportional to 7,335.50 and 15,840.25

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Solution

The third proportional to 7,335.50 and 15,840.25 is: 34,205.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,335.50 : 15,840.25 = 15,840.25 : x
  2. Step 2: Convert to fraction form
    7,335.50/15,840.25 = 15,840.25/x
  3. Step 3: Cross multiply
    7,335.50x = 15,840.25 × 15,840.25
  4. Step 4: Simplify right side
    7,335.50x = 250,913,520.06
  5. Step 5: Solve for x
    x = 250,913,520.06/7,335.50
  6. Step 6: Final answer
    x = 34,205.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.