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Finding the Third Proportional to 13,407 and 22,216.50

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Solution

The third proportional to 13,407 and 22,216.50 is: 36,814.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,407 : 22,216.50 = 22,216.50 : x
  2. Step 2: Convert to fraction form
    13,407/22,216.50 = 22,216.50/x
  3. Step 3: Cross multiply
    13,407x = 22,216.50 × 22,216.50
  4. Step 4: Simplify right side
    13,407x = 493,572,872.25
  5. Step 5: Solve for x
    x = 493,572,872.25/13,407
  6. Step 6: Final answer
    x = 36,814.56

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.