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Finding the Third Proportional to 12,632.91 and 21,053.11

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Solution

The third proportional to 12,632.91 and 21,053.11 is: 35,085.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,632.91 : 21,053.11 = 21,053.11 : x
  2. Step 2: Convert to fraction form
    12,632.91/21,053.11 = 21,053.11/x
  3. Step 3: Cross multiply
    12,632.91x = 21,053.11 × 21,053.11
  4. Step 4: Simplify right side
    12,632.91x = 443,233,414.36
  5. Step 5: Solve for x
    x = 443,233,414.36/12,632.91
  6. Step 6: Final answer
    x = 35,085.63

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.