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Finding the Third Proportional to 5,483.25 and 11,101.50

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Solution

The third proportional to 5,483.25 and 11,101.50 is: 22,476.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,483.25 : 11,101.50 = 11,101.50 : x
  2. Step 2: Convert to fraction form
    5,483.25/11,101.50 = 11,101.50/x
  3. Step 3: Cross multiply
    5,483.25x = 11,101.50 × 11,101.50
  4. Step 4: Simplify right side
    5,483.25x = 123,243,302.25
  5. Step 5: Solve for x
    x = 123,243,302.25/5,483.25
  6. Step 6: Final answer
    x = 22,476.32

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.