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Finding the Third Proportional to 23,539.36 and 32,999.91

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Solution

The third proportional to 23,539.36 and 32,999.91 is: 46,262.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,539.36 : 32,999.91 = 32,999.91 : x
  2. Step 2: Convert to fraction form
    23,539.36/32,999.91 = 32,999.91/x
  3. Step 3: Cross multiply
    23,539.36x = 32,999.91 × 32,999.91
  4. Step 4: Simplify right side
    23,539.36x = 1,088,993,812.51
  5. Step 5: Solve for x
    x = 1,088,993,812.51/23,539.36
  6. Step 6: Final answer
    x = 46,262.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.