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Finding the Third Proportional to 19,683 and 31,164.75

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Solution

The third proportional to 19,683 and 31,164.75 is: 49,344.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683 : 31,164.75 = 31,164.75 : x
  2. Step 2: Convert to fraction form
    19,683/31,164.75 = 31,164.75/x
  3. Step 3: Cross multiply
    19,683x = 31,164.75 × 31,164.75
  4. Step 4: Simplify right side
    19,683x = 971,241,642.56
  5. Step 5: Solve for x
    x = 971,241,642.56/19,683
  6. Step 6: Final answer
    x = 49,344.19

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.