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Finding the Third Proportional to 20,598 and 30,987

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Solution

The third proportional to 20,598 and 30,987 is: 46,615.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,598 : 30,987 = 30,987 : x
  2. Step 2: Convert to fraction form
    20,598/30,987 = 30,987/x
  3. Step 3: Cross multiply
    20,598x = 30,987 × 30,987
  4. Step 4: Simplify right side
    20,598x = 960,194,169
  5. Step 5: Solve for x
    x = 960,194,169/20,598
  6. Step 6: Final answer
    x = 46,615.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.