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Finding the Third Proportional to 30,002.91 and 55,358.44

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Solution

The third proportional to 30,002.91 and 55,358.44 is: 102,141.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,002.91 : 55,358.44 = 55,358.44 : x
  2. Step 2: Convert to fraction form
    30,002.91/55,358.44 = 55,358.44/x
  3. Step 3: Cross multiply
    30,002.91x = 55,358.44 × 55,358.44
  4. Step 4: Simplify right side
    30,002.91x = 3,064,556,602.44
  5. Step 5: Solve for x
    x = 3,064,556,602.44/30,002.91
  6. Step 6: Final answer
    x = 102,141.99

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These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.