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Finding the Third Proportional to 19,239.75 and 25,886.25

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Solution

The third proportional to 19,239.75 and 25,886.25 is: 34,828.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,239.75 : 25,886.25 = 25,886.25 : x
  2. Step 2: Convert to fraction form
    19,239.75/25,886.25 = 25,886.25/x
  3. Step 3: Cross multiply
    19,239.75x = 25,886.25 × 25,886.25
  4. Step 4: Simplify right side
    19,239.75x = 670,097,939.06
  5. Step 5: Solve for x
    x = 670,097,939.06/19,239.75
  6. Step 6: Final answer
    x = 34,828.83

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.