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Finding the Third Proportional to 19,044 and 31,338

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Solution

The third proportional to 19,044 and 31,338 is: 51,568.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,044 : 31,338 = 31,338 : x
  2. Step 2: Convert to fraction form
    19,044/31,338 = 31,338/x
  3. Step 3: Cross multiply
    19,044x = 31,338 × 31,338
  4. Step 4: Simplify right side
    19,044x = 982,070,244
  5. Step 5: Solve for x
    x = 982,070,244/19,044
  6. Step 6: Final answer
    x = 51,568.49

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.