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Finding the Third Proportional to 23,042 and 33,603

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Solution

The third proportional to 23,042 and 33,603 is: 49,004.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,042 : 33,603 = 33,603 : x
  2. Step 2: Convert to fraction form
    23,042/33,603 = 33,603/x
  3. Step 3: Cross multiply
    23,042x = 33,603 × 33,603
  4. Step 4: Simplify right side
    23,042x = 1,129,161,609
  5. Step 5: Solve for x
    x = 1,129,161,609/23,042
  6. Step 6: Final answer
    x = 49,004.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.