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Finding the Third Proportional to 23,730.75 and 35,230.50

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Solution

The third proportional to 23,730.75 and 35,230.50 is: 52,302.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,730.75 : 35,230.50 = 35,230.50 : x
  2. Step 2: Convert to fraction form
    23,730.75/35,230.50 = 35,230.50/x
  3. Step 3: Cross multiply
    23,730.75x = 35,230.50 × 35,230.50
  4. Step 4: Simplify right side
    23,730.75x = 1,241,188,130.25
  5. Step 5: Solve for x
    x = 1,241,188,130.25/23,730.75
  6. Step 6: Final answer
    x = 52,302.95

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.