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Finding the Third Proportional to 10,999.13 and 23,729.63

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Solution

The third proportional to 10,999.13 and 23,729.63 is: 51,194.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,999.13 : 23,729.63 = 23,729.63 : x
  2. Step 2: Convert to fraction form
    10,999.13/23,729.63 = 23,729.63/x
  3. Step 3: Cross multiply
    10,999.13x = 23,729.63 × 23,729.63
  4. Step 4: Simplify right side
    10,999.13x = 563,095,102.64
  5. Step 5: Solve for x
    x = 563,095,102.64/10,999.13
  6. Step 6: Final answer
    x = 51,194.54

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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.