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Finding the Third Proportional to 15,734.25 and 23,829.75

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Solution

The third proportional to 15,734.25 and 23,829.75 is: 36,090.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,734.25 : 23,829.75 = 23,829.75 : x
  2. Step 2: Convert to fraction form
    15,734.25/23,829.75 = 23,829.75/x
  3. Step 3: Cross multiply
    15,734.25x = 23,829.75 × 23,829.75
  4. Step 4: Simplify right side
    15,734.25x = 567,856,985.06
  5. Step 5: Solve for x
    x = 567,856,985.06/15,734.25
  6. Step 6: Final answer
    x = 36,090.50

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.