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Finding the Third Proportional to 15,263.25 and 22,779.75

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Solution

The third proportional to 15,263.25 and 22,779.75 is: 33,997.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,263.25 : 22,779.75 = 22,779.75 : x
  2. Step 2: Convert to fraction form
    15,263.25/22,779.75 = 22,779.75/x
  3. Step 3: Cross multiply
    15,263.25x = 22,779.75 × 22,779.75
  4. Step 4: Simplify right side
    15,263.25x = 518,917,010.06
  5. Step 5: Solve for x
    x = 518,917,010.06/15,263.25
  6. Step 6: Final answer
    x = 33,997.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.