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Finding the Third Proportional to 23,451.75 and 47,772

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Solution

The third proportional to 23,451.75 and 47,772 is: 97,313.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,451.75 : 47,772 = 47,772 : x
  2. Step 2: Convert to fraction form
    23,451.75/47,772 = 47,772/x
  3. Step 3: Cross multiply
    23,451.75x = 47,772 × 47,772
  4. Step 4: Simplify right side
    23,451.75x = 2,282,163,984
  5. Step 5: Solve for x
    x = 2,282,163,984/23,451.75
  6. Step 6: Final answer
    x = 97,313.16

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Why These Related Problems?

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