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Finding the Third Proportional to 30,084 and 46,842

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Solution

The third proportional to 30,084 and 46,842 is: 72,934.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,084 : 46,842 = 46,842 : x
  2. Step 2: Convert to fraction form
    30,084/46,842 = 46,842/x
  3. Step 3: Cross multiply
    30,084x = 46,842 × 46,842
  4. Step 4: Simplify right side
    30,084x = 2,194,172,964
  5. Step 5: Solve for x
    x = 2,194,172,964/30,084
  6. Step 6: Final answer
    x = 72,934.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.