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Finding the Third Proportional to 4,463 and 9,047.50

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Solution

The third proportional to 4,463 and 9,047.50 is: 18,341.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,463 : 9,047.50 = 9,047.50 : x
  2. Step 2: Convert to fraction form
    4,463/9,047.50 = 9,047.50/x
  3. Step 3: Cross multiply
    4,463x = 9,047.50 × 9,047.50
  4. Step 4: Simplify right side
    4,463x = 81,857,256.25
  5. Step 5: Solve for x
    x = 81,857,256.25/4,463
  6. Step 6: Final answer
    x = 18,341.31

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.