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Finding the Third Proportional to 19,683 and 31,303.97

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Solution

The third proportional to 19,683 and 31,303.97 is: 49,786.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683 : 31,303.97 = 31,303.97 : x
  2. Step 2: Convert to fraction form
    19,683/31,303.97 = 31,303.97/x
  3. Step 3: Cross multiply
    19,683x = 31,303.97 × 31,303.97
  4. Step 4: Simplify right side
    19,683x = 979,938,459.50
  5. Step 5: Solve for x
    x = 979,938,459.50/19,683
  6. Step 6: Final answer
    x = 49,786.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.