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Finding the Third Proportional to 21,227.06 and 46,139.06

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Solution

The third proportional to 21,227.06 and 46,139.06 is: 100,287.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,227.06 : 46,139.06 = 46,139.06 : x
  2. Step 2: Convert to fraction form
    21,227.06/46,139.06 = 46,139.06/x
  3. Step 3: Cross multiply
    21,227.06x = 46,139.06 × 46,139.06
  4. Step 4: Simplify right side
    21,227.06x = 2,128,813,088.38
  5. Step 5: Solve for x
    x = 2,128,813,088.38/21,227.06
  6. Step 6: Final answer
    x = 100,287.69

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.