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Finding the Third Proportional to 12,281.63 and 18,483.19

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Solution

The third proportional to 12,281.63 and 18,483.19 is: 27,816.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,281.63 : 18,483.19 = 18,483.19 : x
  2. Step 2: Convert to fraction form
    12,281.63/18,483.19 = 18,483.19/x
  3. Step 3: Cross multiply
    12,281.63x = 18,483.19 × 18,483.19
  4. Step 4: Simplify right side
    12,281.63x = 341,628,220.16
  5. Step 5: Solve for x
    x = 341,628,220.16/12,281.63
  6. Step 6: Final answer
    x = 27,816.21

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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.