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Finding the Third Proportional to 4,563.88 and 9,343.63

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Solution

The third proportional to 4,563.88 and 9,343.63 is: 19,129.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.88 : 9,343.63 = 9,343.63 : x
  2. Step 2: Convert to fraction form
    4,563.88/9,343.63 = 9,343.63/x
  3. Step 3: Cross multiply
    4,563.88x = 9,343.63 × 9,343.63
  4. Step 4: Simplify right side
    4,563.88x = 87,303,328.14
  5. Step 5: Solve for x
    x = 87,303,328.14/4,563.88
  6. Step 6: Final answer
    x = 19,129.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.