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Finding the Third Proportional to 4,851.75 and 10,013.06

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Solution

The third proportional to 4,851.75 and 10,013.06 is: 20,665.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,851.75 : 10,013.06 = 10,013.06 : x
  2. Step 2: Convert to fraction form
    4,851.75/10,013.06 = 10,013.06/x
  3. Step 3: Cross multiply
    4,851.75x = 10,013.06 × 10,013.06
  4. Step 4: Simplify right side
    4,851.75x = 100,261,420.63
  5. Step 5: Solve for x
    x = 100,261,420.63/4,851.75
  6. Step 6: Final answer
    x = 20,665.00

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.