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Finding the Third Proportional to 23,638.39 and 35,739.51

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Solution

The third proportional to 23,638.39 and 35,739.51 is: 54,035.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,638.39 : 35,739.51 = 35,739.51 : x
  2. Step 2: Convert to fraction form
    23,638.39/35,739.51 = 35,739.51/x
  3. Step 3: Cross multiply
    23,638.39x = 35,739.51 × 35,739.51
  4. Step 4: Simplify right side
    23,638.39x = 1,277,312,558.29
  5. Step 5: Solve for x
    x = 1,277,312,558.29/23,638.39
  6. Step 6: Final answer
    x = 54,035.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.