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Finding the Third Proportional to 30,112 and 46,835

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Solution

The third proportional to 30,112 and 46,835 is: 72,845.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,112 : 46,835 = 46,835 : x
  2. Step 2: Convert to fraction form
    30,112/46,835 = 46,835/x
  3. Step 3: Cross multiply
    30,112x = 46,835 × 46,835
  4. Step 4: Simplify right side
    30,112x = 2,193,517,225
  5. Step 5: Solve for x
    x = 2,193,517,225/30,112
  6. Step 6: Final answer
    x = 72,845.29

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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.