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Finding the Third Proportional to 29,640 and 46,923

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Solution

The third proportional to 29,640 and 46,923 is: 74,283.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,640 : 46,923 = 46,923 : x
  2. Step 2: Convert to fraction form
    29,640/46,923 = 46,923/x
  3. Step 3: Cross multiply
    29,640x = 46,923 × 46,923
  4. Step 4: Simplify right side
    29,640x = 2,201,767,929
  5. Step 5: Solve for x
    x = 2,201,767,929/29,640
  6. Step 6: Final answer
    x = 74,283.67

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.