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Finding the Third Proportional to 23,779.13 and 50,932.13

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Solution

The third proportional to 23,779.13 and 50,932.13 is: 109,090.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,779.13 : 50,932.13 = 50,932.13 : x
  2. Step 2: Convert to fraction form
    23,779.13/50,932.13 = 50,932.13/x
  3. Step 3: Cross multiply
    23,779.13x = 50,932.13 × 50,932.13
  4. Step 4: Simplify right side
    23,779.13x = 2,594,081,357.02
  5. Step 5: Solve for x
    x = 2,594,081,357.02/23,779.13
  6. Step 6: Final answer
    x = 109,090.70

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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.