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Finding the Third Proportional to 4,876.03 and 7,851.09

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Solution

The third proportional to 4,876.03 and 7,851.09 is: 12,641.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,876.03 : 7,851.09 = 7,851.09 : x
  2. Step 2: Convert to fraction form
    4,876.03/7,851.09 = 7,851.09/x
  3. Step 3: Cross multiply
    4,876.03x = 7,851.09 × 7,851.09
  4. Step 4: Simplify right side
    4,876.03x = 61,639,673.07
  5. Step 5: Solve for x
    x = 61,639,673.07/4,876.03
  6. Step 6: Final answer
    x = 12,641.36

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.