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Finding the Third Proportional to 20,597 and 44,970

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Solution

The third proportional to 20,597 and 44,970 is: 98,184.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,597 : 44,970 = 44,970 : x
  2. Step 2: Convert to fraction form
    20,597/44,970 = 44,970/x
  3. Step 3: Cross multiply
    20,597x = 44,970 × 44,970
  4. Step 4: Simplify right side
    20,597x = 2,022,300,900
  5. Step 5: Solve for x
    x = 2,022,300,900/20,597
  6. Step 6: Final answer
    x = 98,184.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.