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Finding the Third Proportional to 10,060 and 21,419.38

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Solution

The third proportional to 10,060 and 21,419.38 is: 45,605.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,060 : 21,419.38 = 21,419.38 : x
  2. Step 2: Convert to fraction form
    10,060/21,419.38 = 21,419.38/x
  3. Step 3: Cross multiply
    10,060x = 21,419.38 × 21,419.38
  4. Step 4: Simplify right side
    10,060x = 458,789,625.39
  5. Step 5: Solve for x
    x = 458,789,625.39/10,060
  6. Step 6: Final answer
    x = 45,605.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.