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Finding the Third Proportional to 9,074 and 19,703

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Solution

The third proportional to 9,074 and 19,703 is: 42,782.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,074 : 19,703 = 19,703 : x
  2. Step 2: Convert to fraction form
    9,074/19,703 = 19,703/x
  3. Step 3: Cross multiply
    9,074x = 19,703 × 19,703
  4. Step 4: Simplify right side
    9,074x = 388,208,209
  5. Step 5: Solve for x
    x = 388,208,209/9,074
  6. Step 6: Final answer
    x = 42,782.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.