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Finding the Third Proportional to 4,711.50 and 9,812.25

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Solution

The third proportional to 4,711.50 and 9,812.25 is: 20,435.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.50 : 9,812.25 = 9,812.25 : x
  2. Step 2: Convert to fraction form
    4,711.50/9,812.25 = 9,812.25/x
  3. Step 3: Cross multiply
    4,711.50x = 9,812.25 × 9,812.25
  4. Step 4: Simplify right side
    4,711.50x = 96,280,250.06
  5. Step 5: Solve for x
    x = 96,280,250.06/4,711.50
  6. Step 6: Final answer
    x = 20,435.16

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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.