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Finding the Third Proportional to 30,838.22 and 64,100.43

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Solution

The third proportional to 30,838.22 and 64,100.43 is: 133,239.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,838.22 : 64,100.43 = 64,100.43 : x
  2. Step 2: Convert to fraction form
    30,838.22/64,100.43 = 64,100.43/x
  3. Step 3: Cross multiply
    30,838.22x = 64,100.43 × 64,100.43
  4. Step 4: Simplify right side
    30,838.22x = 4,108,864,585.34
  5. Step 5: Solve for x
    x = 4,108,864,585.34/30,838.22
  6. Step 6: Final answer
    x = 133,239.36

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.