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Finding the Third Proportional to 17,627.63 and 23,297.63

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Solution

The third proportional to 17,627.63 and 23,297.63 is: 30,791.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,627.63 : 23,297.63 = 23,297.63 : x
  2. Step 2: Convert to fraction form
    17,627.63/23,297.63 = 23,297.63/x
  3. Step 3: Cross multiply
    17,627.63x = 23,297.63 × 23,297.63
  4. Step 4: Simplify right side
    17,627.63x = 542,779,330.64
  5. Step 5: Solve for x
    x = 542,779,330.64/17,627.63
  6. Step 6: Final answer
    x = 30,791.40

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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.