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Finding the Third Proportional to 10,955.46 and 23,662.49

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Solution

The third proportional to 10,955.46 and 23,662.49 is: 51,108.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,955.46 : 23,662.49 = 23,662.49 : x
  2. Step 2: Convert to fraction form
    10,955.46/23,662.49 = 23,662.49/x
  3. Step 3: Cross multiply
    10,955.46x = 23,662.49 × 23,662.49
  4. Step 4: Simplify right side
    10,955.46x = 559,913,355.99
  5. Step 5: Solve for x
    x = 559,913,355.99/10,955.46
  6. Step 6: Final answer
    x = 51,108.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.