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Finding the Third Proportional to 21,472 and 47,044

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Solution

The third proportional to 21,472 and 47,044 is: 103,070.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,472 : 47,044 = 47,044 : x
  2. Step 2: Convert to fraction form
    21,472/47,044 = 47,044/x
  3. Step 3: Cross multiply
    21,472x = 47,044 × 47,044
  4. Step 4: Simplify right side
    21,472x = 2,213,137,936
  5. Step 5: Solve for x
    x = 2,213,137,936/21,472
  6. Step 6: Final answer
    x = 103,070.88

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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.