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Finding the Third Proportional to 9,013 and 19,713

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Solution

The third proportional to 9,013 and 19,713 is: 43,115.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,013 : 19,713 = 19,713 : x
  2. Step 2: Convert to fraction form
    9,013/19,713 = 19,713/x
  3. Step 3: Cross multiply
    9,013x = 19,713 × 19,713
  4. Step 4: Simplify right side
    9,013x = 388,602,369
  5. Step 5: Solve for x
    x = 388,602,369/9,013
  6. Step 6: Final answer
    x = 43,115.76

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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.