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Finding the Third Proportional to 22,952 and 47,984

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Solution

The third proportional to 22,952 and 47,984 is: 100,316.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,952 : 47,984 = 47,984 : x
  2. Step 2: Convert to fraction form
    22,952/47,984 = 47,984/x
  3. Step 3: Cross multiply
    22,952x = 47,984 × 47,984
  4. Step 4: Simplify right side
    22,952x = 2,302,464,256
  5. Step 5: Solve for x
    x = 2,302,464,256/22,952
  6. Step 6: Final answer
    x = 100,316.50

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.