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Finding the Third Proportional to 14,178.75 and 20,858.06

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Solution

The third proportional to 14,178.75 and 20,858.06 is: 30,683.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,178.75 : 20,858.06 = 20,858.06 : x
  2. Step 2: Convert to fraction form
    14,178.75/20,858.06 = 20,858.06/x
  3. Step 3: Cross multiply
    14,178.75x = 20,858.06 × 20,858.06
  4. Step 4: Simplify right side
    14,178.75x = 435,058,771.25
  5. Step 5: Solve for x
    x = 435,058,771.25/14,178.75
  6. Step 6: Final answer
    x = 30,683.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.