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Finding the Third Proportional to 21,473 and 47,013

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Solution

The third proportional to 21,473 and 47,013 is: 102,930.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,473 : 47,013 = 47,013 : x
  2. Step 2: Convert to fraction form
    21,473/47,013 = 47,013/x
  3. Step 3: Cross multiply
    21,473x = 47,013 × 47,013
  4. Step 4: Simplify right side
    21,473x = 2,210,222,169
  5. Step 5: Solve for x
    x = 2,210,222,169/21,473
  6. Step 6: Final answer
    x = 102,930.29

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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.