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Finding the Third Proportional to 12,534.75 and 16,501.22

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Solution

The third proportional to 12,534.75 and 16,501.22 is: 21,722.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.75 : 16,501.22 = 16,501.22 : x
  2. Step 2: Convert to fraction form
    12,534.75/16,501.22 = 16,501.22/x
  3. Step 3: Cross multiply
    12,534.75x = 16,501.22 × 16,501.22
  4. Step 4: Simplify right side
    12,534.75x = 272,290,220.24
  5. Step 5: Solve for x
    x = 272,290,220.24/12,534.75
  6. Step 6: Final answer
    x = 21,722.83

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.