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Finding the Third Proportional to 30,056 and 46,722

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Solution

The third proportional to 30,056 and 46,722 is: 72,629.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,056 : 46,722 = 46,722 : x
  2. Step 2: Convert to fraction form
    30,056/46,722 = 46,722/x
  3. Step 3: Cross multiply
    30,056x = 46,722 × 46,722
  4. Step 4: Simplify right side
    30,056x = 2,182,945,284
  5. Step 5: Solve for x
    x = 2,182,945,284/30,056
  6. Step 6: Final answer
    x = 72,629.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.