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Finding the Third Proportional to 30,722 and 45,871

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Solution

The third proportional to 30,722 and 45,871 is: 68,489.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,722 : 45,871 = 45,871 : x
  2. Step 2: Convert to fraction form
    30,722/45,871 = 45,871/x
  3. Step 3: Cross multiply
    30,722x = 45,871 × 45,871
  4. Step 4: Simplify right side
    30,722x = 2,104,148,641
  5. Step 5: Solve for x
    x = 2,104,148,641/30,722
  6. Step 6: Final answer
    x = 68,489.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.