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Finding the Third Proportional to 30,330 and 46,791

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Solution

The third proportional to 30,330 and 46,791 is: 72,185.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,330 : 46,791 = 46,791 : x
  2. Step 2: Convert to fraction form
    30,330/46,791 = 46,791/x
  3. Step 3: Cross multiply
    30,330x = 46,791 × 46,791
  4. Step 4: Simplify right side
    30,330x = 2,189,397,681
  5. Step 5: Solve for x
    x = 2,189,397,681/30,330
  6. Step 6: Final answer
    x = 72,185.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.