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Finding the Third Proportional to 30,332 and 46,794

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Solution

The third proportional to 30,332 and 46,794 is: 72,190.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,332 : 46,794 = 46,794 : x
  2. Step 2: Convert to fraction form
    30,332/46,794 = 46,794/x
  3. Step 3: Cross multiply
    30,332x = 46,794 × 46,794
  4. Step 4: Simplify right side
    30,332x = 2,189,678,436
  5. Step 5: Solve for x
    x = 2,189,678,436/30,332
  6. Step 6: Final answer
    x = 72,190.37

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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.