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Finding the Third Proportional to 30,002.91 and 64,835.44

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Solution

The third proportional to 30,002.91 and 64,835.44 is: 140,107.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,002.91 : 64,835.44 = 64,835.44 : x
  2. Step 2: Convert to fraction form
    30,002.91/64,835.44 = 64,835.44/x
  3. Step 3: Cross multiply
    30,002.91x = 64,835.44 × 64,835.44
  4. Step 4: Simplify right side
    30,002.91x = 4,203,633,955.82
  5. Step 5: Solve for x
    x = 4,203,633,955.82/30,002.91
  6. Step 6: Final answer
    x = 140,107.56

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.