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Finding the Third Proportional to 15,588.75 and 23,319.75

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Solution

The third proportional to 15,588.75 and 23,319.75 is: 34,884.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,588.75 : 23,319.75 = 23,319.75 : x
  2. Step 2: Convert to fraction form
    15,588.75/23,319.75 = 23,319.75/x
  3. Step 3: Cross multiply
    15,588.75x = 23,319.75 × 23,319.75
  4. Step 4: Simplify right side
    15,588.75x = 543,810,740.06
  5. Step 5: Solve for x
    x = 543,810,740.06/15,588.75
  6. Step 6: Final answer
    x = 34,884.82

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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.