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Finding the Third Proportional to 8,992.50 and 13,457.25

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Solution

The third proportional to 8,992.50 and 13,457.25 is: 20,138.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,992.50 : 13,457.25 = 13,457.25 : x
  2. Step 2: Convert to fraction form
    8,992.50/13,457.25 = 13,457.25/x
  3. Step 3: Cross multiply
    8,992.50x = 13,457.25 × 13,457.25
  4. Step 4: Simplify right side
    8,992.50x = 181,097,577.56
  5. Step 5: Solve for x
    x = 181,097,577.56/8,992.50
  6. Step 6: Final answer
    x = 20,138.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.