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Finding the Third Proportional to 5,483.25 and 9,812.25

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Solution

The third proportional to 5,483.25 and 9,812.25 is: 17,558.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,483.25 : 9,812.25 = 9,812.25 : x
  2. Step 2: Convert to fraction form
    5,483.25/9,812.25 = 9,812.25/x
  3. Step 3: Cross multiply
    5,483.25x = 9,812.25 × 9,812.25
  4. Step 4: Simplify right side
    5,483.25x = 96,280,250.06
  5. Step 5: Solve for x
    x = 96,280,250.06/5,483.25
  6. Step 6: Final answer
    x = 17,558.98

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.