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Finding the Third Proportional to 17,952 and 23,984

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Solution

The third proportional to 17,952 and 23,984 is: 32,042.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,952 : 23,984 = 23,984 : x
  2. Step 2: Convert to fraction form
    17,952/23,984 = 23,984/x
  3. Step 3: Cross multiply
    17,952x = 23,984 × 23,984
  4. Step 4: Simplify right side
    17,952x = 575,232,256
  5. Step 5: Solve for x
    x = 575,232,256/17,952
  6. Step 6: Final answer
    x = 32,042.80

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.