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Finding the Third Proportional to 23,722.88 and 35,518.50

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Solution

The third proportional to 23,722.88 and 35,518.50 is: 53,179.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,722.88 : 35,518.50 = 35,518.50 : x
  2. Step 2: Convert to fraction form
    23,722.88/35,518.50 = 35,518.50/x
  3. Step 3: Cross multiply
    23,722.88x = 35,518.50 × 35,518.50
  4. Step 4: Simplify right side
    23,722.88x = 1,261,563,842.25
  5. Step 5: Solve for x
    x = 1,261,563,842.25/23,722.88
  6. Step 6: Final answer
    x = 53,179.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.