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Finding the Third Proportional to 14,051 and 18,794.50

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Solution

The third proportional to 14,051 and 18,794.50 is: 25,139.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,051 : 18,794.50 = 18,794.50 : x
  2. Step 2: Convert to fraction form
    14,051/18,794.50 = 18,794.50/x
  3. Step 3: Cross multiply
    14,051x = 18,794.50 × 18,794.50
  4. Step 4: Simplify right side
    14,051x = 353,233,230.25
  5. Step 5: Solve for x
    x = 353,233,230.25/14,051
  6. Step 6: Final answer
    x = 25,139.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.