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Finding the Third Proportional to 30,896 and 49,746

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Solution

The third proportional to 30,896 and 49,746 is: 80,096.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,896 : 49,746 = 49,746 : x
  2. Step 2: Convert to fraction form
    30,896/49,746 = 49,746/x
  3. Step 3: Cross multiply
    30,896x = 49,746 × 49,746
  4. Step 4: Simplify right side
    30,896x = 2,474,664,516
  5. Step 5: Solve for x
    x = 2,474,664,516/30,896
  6. Step 6: Final answer
    x = 80,096.60

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.