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Finding the Third Proportional to 4,563.84 and 9,475.10

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Solution

The third proportional to 4,563.84 and 9,475.10 is: 19,671.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.84 : 9,475.10 = 9,475.10 : x
  2. Step 2: Convert to fraction form
    4,563.84/9,475.10 = 9,475.10/x
  3. Step 3: Cross multiply
    4,563.84x = 9,475.10 × 9,475.10
  4. Step 4: Simplify right side
    4,563.84x = 89,777,549.62
  5. Step 5: Solve for x
    x = 89,777,549.62/4,563.84
  6. Step 6: Final answer
    x = 19,671.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.