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Finding the Third Proportional to 10,805.91 and 23,662.13

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Solution

The third proportional to 10,805.91 and 23,662.13 is: 51,813.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.91 : 23,662.13 = 23,662.13 : x
  2. Step 2: Convert to fraction form
    10,805.91/23,662.13 = 23,662.13/x
  3. Step 3: Cross multiply
    10,805.91x = 23,662.13 × 23,662.13
  4. Step 4: Simplify right side
    10,805.91x = 559,896,159.52
  5. Step 5: Solve for x
    x = 559,896,159.52/10,805.91
  6. Step 6: Final answer
    x = 51,813.90

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.