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Finding the Third Proportional to 30,970 and 45,722

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Solution

The third proportional to 30,970 and 45,722 is: 67,500.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,970 : 45,722 = 45,722 : x
  2. Step 2: Convert to fraction form
    30,970/45,722 = 45,722/x
  3. Step 3: Cross multiply
    30,970x = 45,722 × 45,722
  4. Step 4: Simplify right side
    30,970x = 2,090,501,284
  5. Step 5: Solve for x
    x = 2,090,501,284/30,970
  6. Step 6: Final answer
    x = 67,500.85

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.