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Finding the Third Proportional to 4,686.75 and 10,851.75

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Solution

The third proportional to 4,686.75 and 10,851.75 is: 25,126.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.75 : 10,851.75 = 10,851.75 : x
  2. Step 2: Convert to fraction form
    4,686.75/10,851.75 = 10,851.75/x
  3. Step 3: Cross multiply
    4,686.75x = 10,851.75 × 10,851.75
  4. Step 4: Simplify right side
    4,686.75x = 117,760,478.06
  5. Step 5: Solve for x
    x = 117,760,478.06/4,686.75
  6. Step 6: Final answer
    x = 25,126.26

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.