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Finding the Third Proportional to 21,952 and 47,235

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Solution

The third proportional to 21,952 and 47,235 is: 101,637.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,952 : 47,235 = 47,235 : x
  2. Step 2: Convert to fraction form
    21,952/47,235 = 47,235/x
  3. Step 3: Cross multiply
    21,952x = 47,235 × 47,235
  4. Step 4: Simplify right side
    21,952x = 2,231,145,225
  5. Step 5: Solve for x
    x = 2,231,145,225/21,952
  6. Step 6: Final answer
    x = 101,637.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.