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Finding the Third Proportional to 8,750.74 and 19,202.48

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Solution

The third proportional to 8,750.74 and 19,202.48 is: 42,137.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,750.74 : 19,202.48 = 19,202.48 : x
  2. Step 2: Convert to fraction form
    8,750.74/19,202.48 = 19,202.48/x
  3. Step 3: Cross multiply
    8,750.74x = 19,202.48 × 19,202.48
  4. Step 4: Simplify right side
    8,750.74x = 368,735,406.17
  5. Step 5: Solve for x
    x = 368,735,406.17/8,750.74
  6. Step 6: Final answer
    x = 42,137.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.