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Finding the Third Proportional to 30,667 and 46,461

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Solution

The third proportional to 30,667 and 46,461 is: 70,389.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,667 : 46,461 = 46,461 : x
  2. Step 2: Convert to fraction form
    30,667/46,461 = 46,461/x
  3. Step 3: Cross multiply
    30,667x = 46,461 × 46,461
  4. Step 4: Simplify right side
    30,667x = 2,158,624,521
  5. Step 5: Solve for x
    x = 2,158,624,521/30,667
  6. Step 6: Final answer
    x = 70,389.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.