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Finding the Third Proportional to 21,650 and 47,308

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Solution

The third proportional to 21,650 and 47,308 is: 103,373.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,650 : 47,308 = 47,308 : x
  2. Step 2: Convert to fraction form
    21,650/47,308 = 47,308/x
  3. Step 3: Cross multiply
    21,650x = 47,308 × 47,308
  4. Step 4: Simplify right side
    21,650x = 2,238,046,864
  5. Step 5: Solve for x
    x = 2,238,046,864/21,650
  6. Step 6: Final answer
    x = 103,373.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.