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Finding the Third Proportional to 5,006.25 and 10,201.50

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Solution

The third proportional to 5,006.25 and 10,201.50 is: 20,788.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.25 : 10,201.50 = 10,201.50 : x
  2. Step 2: Convert to fraction form
    5,006.25/10,201.50 = 10,201.50/x
  3. Step 3: Cross multiply
    5,006.25x = 10,201.50 × 10,201.50
  4. Step 4: Simplify right side
    5,006.25x = 104,070,602.25
  5. Step 5: Solve for x
    x = 104,070,602.25/5,006.25
  6. Step 6: Final answer
    x = 20,788.14

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.