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Finding the Third Proportional to 17,627.63 and 28,324.69

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Solution

The third proportional to 17,627.63 and 28,324.69 is: 45,513.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,627.63 : 28,324.69 = 28,324.69 : x
  2. Step 2: Convert to fraction form
    17,627.63/28,324.69 = 28,324.69/x
  3. Step 3: Cross multiply
    17,627.63x = 28,324.69 × 28,324.69
  4. Step 4: Simplify right side
    17,627.63x = 802,287,921.97
  5. Step 5: Solve for x
    x = 802,287,921.97/17,627.63
  6. Step 6: Final answer
    x = 45,513.10

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.