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Finding the Third Proportional to 15,765.75 and 23,764.50

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Solution

The third proportional to 15,765.75 and 23,764.50 is: 35,821.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,765.75 : 23,764.50 = 23,764.50 : x
  2. Step 2: Convert to fraction form
    15,765.75/23,764.50 = 23,764.50/x
  3. Step 3: Cross multiply
    15,765.75x = 23,764.50 × 23,764.50
  4. Step 4: Simplify right side
    15,765.75x = 564,751,460.25
  5. Step 5: Solve for x
    x = 564,751,460.25/15,765.75
  6. Step 6: Final answer
    x = 35,821.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.