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Finding the Third Proportional to 4,316.50 and 9,401.75

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Solution

The third proportional to 4,316.50 and 9,401.75 is: 20,477.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,316.50 : 9,401.75 = 9,401.75 : x
  2. Step 2: Convert to fraction form
    4,316.50/9,401.75 = 9,401.75/x
  3. Step 3: Cross multiply
    4,316.50x = 9,401.75 × 9,401.75
  4. Step 4: Simplify right side
    4,316.50x = 88,392,903.06
  5. Step 5: Solve for x
    x = 88,392,903.06/4,316.50
  6. Step 6: Final answer
    x = 20,477.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.