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Finding the Third Proportional to 30,933 and 46,686

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Solution

The third proportional to 30,933 and 46,686 is: 70,461.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,933 : 46,686 = 46,686 : x
  2. Step 2: Convert to fraction form
    30,933/46,686 = 46,686/x
  3. Step 3: Cross multiply
    30,933x = 46,686 × 46,686
  4. Step 4: Simplify right side
    30,933x = 2,179,582,596
  5. Step 5: Solve for x
    x = 2,179,582,596/30,933
  6. Step 6: Final answer
    x = 70,461.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.