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Finding the Third Proportional to 23,009.06 and 49,644

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Solution

The third proportional to 23,009.06 and 49,644 is: 107,111.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,009.06 : 49,644 = 49,644 : x
  2. Step 2: Convert to fraction form
    23,009.06/49,644 = 49,644/x
  3. Step 3: Cross multiply
    23,009.06x = 49,644 × 49,644
  4. Step 4: Simplify right side
    23,009.06x = 2,464,526,736
  5. Step 5: Solve for x
    x = 2,464,526,736/23,009.06
  6. Step 6: Final answer
    x = 107,111.13

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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.