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Finding the Third Proportional to 12,417.19 and 18,653.63

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Solution

The third proportional to 12,417.19 and 18,653.63 is: 28,022.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,417.19 : 18,653.63 = 18,653.63 : x
  2. Step 2: Convert to fraction form
    12,417.19/18,653.63 = 18,653.63/x
  3. Step 3: Cross multiply
    12,417.19x = 18,653.63 × 18,653.63
  4. Step 4: Simplify right side
    12,417.19x = 347,957,725.64
  5. Step 5: Solve for x
    x = 347,957,725.64/12,417.19
  6. Step 6: Final answer
    x = 28,022.27

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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.