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Finding the Third Proportional to 23,455.31 and 47,865.75

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Solution

The third proportional to 23,455.31 and 47,865.75 is: 97,680.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,455.31 : 47,865.75 = 47,865.75 : x
  2. Step 2: Convert to fraction form
    23,455.31/47,865.75 = 47,865.75/x
  3. Step 3: Cross multiply
    23,455.31x = 47,865.75 × 47,865.75
  4. Step 4: Simplify right side
    23,455.31x = 2,291,130,023.06
  5. Step 5: Solve for x
    x = 2,291,130,023.06/23,455.31
  6. Step 6: Final answer
    x = 97,680.64

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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.