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Finding the Third Proportional to 9,122.06 and 19,650.94

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Solution

The third proportional to 9,122.06 and 19,650.94 is: 42,332.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.06 : 19,650.94 = 19,650.94 : x
  2. Step 2: Convert to fraction form
    9,122.06/19,650.94 = 19,650.94/x
  3. Step 3: Cross multiply
    9,122.06x = 19,650.94 × 19,650.94
  4. Step 4: Simplify right side
    9,122.06x = 386,159,344.63
  5. Step 5: Solve for x
    x = 386,159,344.63/9,122.06
  6. Step 6: Final answer
    x = 42,332.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.