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Finding the Third Proportional to 4,483.03 and 9,164.06

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Solution

The third proportional to 4,483.03 and 9,164.06 is: 18,732.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,483.03 : 9,164.06 = 9,164.06 : x
  2. Step 2: Convert to fraction form
    4,483.03/9,164.06 = 9,164.06/x
  3. Step 3: Cross multiply
    4,483.03x = 9,164.06 × 9,164.06
  4. Step 4: Simplify right side
    4,483.03x = 83,980,041.50
  5. Step 5: Solve for x
    x = 83,980,041.50/4,483.03
  6. Step 6: Final answer
    x = 18,732.87

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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.