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Finding the Third Proportional to 30,833 and 46,254

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Solution

The third proportional to 30,833 and 46,254 is: 69,387.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,833 : 46,254 = 46,254 : x
  2. Step 2: Convert to fraction form
    30,833/46,254 = 46,254/x
  3. Step 3: Cross multiply
    30,833x = 46,254 × 46,254
  4. Step 4: Simplify right side
    30,833x = 2,139,432,516
  5. Step 5: Solve for x
    x = 2,139,432,516/30,833
  6. Step 6: Final answer
    x = 69,387.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.