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Finding the Third Proportional to 9,044 and 19,783

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Solution

The third proportional to 9,044 and 19,783 is: 43,273.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,044 : 19,783 = 19,783 : x
  2. Step 2: Convert to fraction form
    9,044/19,783 = 19,783/x
  3. Step 3: Cross multiply
    9,044x = 19,783 × 19,783
  4. Step 4: Simplify right side
    9,044x = 391,367,089
  5. Step 5: Solve for x
    x = 391,367,089/9,044
  6. Step 6: Final answer
    x = 43,273.67

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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.