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Finding the Third Proportional to 23,983 and 52,723

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Solution

The third proportional to 23,983 and 52,723 is: 115,903.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,983 : 52,723 = 52,723 : x
  2. Step 2: Convert to fraction form
    23,983/52,723 = 52,723/x
  3. Step 3: Cross multiply
    23,983x = 52,723 × 52,723
  4. Step 4: Simplify right side
    23,983x = 2,779,714,729
  5. Step 5: Solve for x
    x = 2,779,714,729/23,983
  6. Step 6: Final answer
    x = 115,903.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.