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Finding the Third Proportional to 30,597 and 45,327

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Solution

The third proportional to 30,597 and 45,327 is: 67,148.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,597 : 45,327 = 45,327 : x
  2. Step 2: Convert to fraction form
    30,597/45,327 = 45,327/x
  3. Step 3: Cross multiply
    30,597x = 45,327 × 45,327
  4. Step 4: Simplify right side
    30,597x = 2,054,536,929
  5. Step 5: Solve for x
    x = 2,054,536,929/30,597
  6. Step 6: Final answer
    x = 67,148.31

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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.