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Finding the Third Proportional to 30,366 and 46,848

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Solution

The third proportional to 30,366 and 46,848 is: 72,276.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,366 : 46,848 = 46,848 : x
  2. Step 2: Convert to fraction form
    30,366/46,848 = 46,848/x
  3. Step 3: Cross multiply
    30,366x = 46,848 × 46,848
  4. Step 4: Simplify right side
    30,366x = 2,194,735,104
  5. Step 5: Solve for x
    x = 2,194,735,104/30,366
  6. Step 6: Final answer
    x = 72,276.07

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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.