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Finding the Third Proportional to 47,023.88 and 69,032.25

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Solution

The third proportional to 47,023.88 and 69,032.25 is: 101,341.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,023.88 : 69,032.25 = 69,032.25 : x
  2. Step 2: Convert to fraction form
    47,023.88/69,032.25 = 69,032.25/x
  3. Step 3: Cross multiply
    47,023.88x = 69,032.25 × 69,032.25
  4. Step 4: Simplify right side
    47,023.88x = 4,765,451,540.06
  5. Step 5: Solve for x
    x = 4,765,451,540.06/47,023.88
  6. Step 6: Final answer
    x = 101,341.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.