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Finding the Third Proportional to 49,795 and 74,746

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Solution

The third proportional to 49,795 and 74,746 is: 112,199.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,795 : 74,746 = 74,746 : x
  2. Step 2: Convert to fraction form
    49,795/74,746 = 74,746/x
  3. Step 3: Cross multiply
    49,795x = 74,746 × 74,746
  4. Step 4: Simplify right side
    49,795x = 5,586,964,516
  5. Step 5: Solve for x
    x = 5,586,964,516/49,795
  6. Step 6: Final answer
    x = 112,199.31

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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.