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Finding the Third Proportional to 10,518.50 and 15,804.75

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Solution

The third proportional to 10,518.50 and 15,804.75 is: 23,747.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,518.50 : 15,804.75 = 15,804.75 : x
  2. Step 2: Convert to fraction form
    10,518.50/15,804.75 = 15,804.75/x
  3. Step 3: Cross multiply
    10,518.50x = 15,804.75 × 15,804.75
  4. Step 4: Simplify right side
    10,518.50x = 249,790,122.56
  5. Step 5: Solve for x
    x = 249,790,122.56/10,518.50
  6. Step 6: Final answer
    x = 23,747.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.