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Finding the Third Proportional to 23,166.75 and 47,152.50

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Solution

The third proportional to 23,166.75 and 47,152.50 is: 95,971.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,166.75 : 47,152.50 = 47,152.50 : x
  2. Step 2: Convert to fraction form
    23,166.75/47,152.50 = 47,152.50/x
  3. Step 3: Cross multiply
    23,166.75x = 47,152.50 × 47,152.50
  4. Step 4: Simplify right side
    23,166.75x = 2,223,358,256.25
  5. Step 5: Solve for x
    x = 2,223,358,256.25/23,166.75
  6. Step 6: Final answer
    x = 95,971.95

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.