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Finding the Third Proportional to 23,102.25 and 49,484.63

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Solution

The third proportional to 23,102.25 and 49,484.63 is: 105,995.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,102.25 : 49,484.63 = 49,484.63 : x
  2. Step 2: Convert to fraction form
    23,102.25/49,484.63 = 49,484.63/x
  3. Step 3: Cross multiply
    23,102.25x = 49,484.63 × 49,484.63
  4. Step 4: Simplify right side
    23,102.25x = 2,448,728,111.39
  5. Step 5: Solve for x
    x = 2,448,728,111.39/23,102.25
  6. Step 6: Final answer
    x = 105,995.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.