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Finding the Third Proportional to 19,071 and 39,464

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Solution

The third proportional to 19,071 and 39,464 is: 81,663.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,071 : 39,464 = 39,464 : x
  2. Step 2: Convert to fraction form
    19,071/39,464 = 39,464/x
  3. Step 3: Cross multiply
    19,071x = 39,464 × 39,464
  4. Step 4: Simplify right side
    19,071x = 1,557,407,296
  5. Step 5: Solve for x
    x = 1,557,407,296/19,071
  6. Step 6: Final answer
    x = 81,663.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.