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Finding the Third Proportional to 5,860.41 and 12,641.34

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Solution

The third proportional to 5,860.41 and 12,641.34 is: 27,268.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,860.41 : 12,641.34 = 12,641.34 : x
  2. Step 2: Convert to fraction form
    5,860.41/12,641.34 = 12,641.34/x
  3. Step 3: Cross multiply
    5,860.41x = 12,641.34 × 12,641.34
  4. Step 4: Simplify right side
    5,860.41x = 159,803,571.81
  5. Step 5: Solve for x
    x = 159,803,571.81/5,860.41
  6. Step 6: Final answer
    x = 27,268.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.