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Finding the Third Proportional to 23,827.50 and 35,336.25

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Solution

The third proportional to 23,827.50 and 35,336.25 is: 52,403.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,827.50 : 35,336.25 = 35,336.25 : x
  2. Step 2: Convert to fraction form
    23,827.50/35,336.25 = 35,336.25/x
  3. Step 3: Cross multiply
    23,827.50x = 35,336.25 × 35,336.25
  4. Step 4: Simplify right side
    23,827.50x = 1,248,650,564.06
  5. Step 5: Solve for x
    x = 1,248,650,564.06/23,827.50
  6. Step 6: Final answer
    x = 52,403.76

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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.