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Finding the Third Proportional to 9,263 and 19,973

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Solution

The third proportional to 9,263 and 19,973 is: 43,066.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263 : 19,973 = 19,973 : x
  2. Step 2: Convert to fraction form
    9,263/19,973 = 19,973/x
  3. Step 3: Cross multiply
    9,263x = 19,973 × 19,973
  4. Step 4: Simplify right side
    9,263x = 398,920,729
  5. Step 5: Solve for x
    x = 398,920,729/9,263
  6. Step 6: Final answer
    x = 43,066.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.