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Finding the Third Proportional to 20,830 and 44,987

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Solution

The third proportional to 20,830 and 44,987 is: 97,159.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,830 : 44,987 = 44,987 : x
  2. Step 2: Convert to fraction form
    20,830/44,987 = 44,987/x
  3. Step 3: Cross multiply
    20,830x = 44,987 × 44,987
  4. Step 4: Simplify right side
    20,830x = 2,023,830,169
  5. Step 5: Solve for x
    x = 2,023,830,169/20,830
  6. Step 6: Final answer
    x = 97,159.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.