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Finding the Third Proportional to 12,545 and 18,405.50

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Solution

The third proportional to 12,545 and 18,405.50 is: 27,003.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,545 : 18,405.50 = 18,405.50 : x
  2. Step 2: Convert to fraction form
    12,545/18,405.50 = 18,405.50/x
  3. Step 3: Cross multiply
    12,545x = 18,405.50 × 18,405.50
  4. Step 4: Simplify right side
    12,545x = 338,762,430.25
  5. Step 5: Solve for x
    x = 338,762,430.25/12,545
  6. Step 6: Final answer
    x = 27,003.78

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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.