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Finding the Third Proportional to 20,830.50 and 44,988

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Solution

The third proportional to 20,830.50 and 44,988 is: 97,161.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,830.50 : 44,988 = 44,988 : x
  2. Step 2: Convert to fraction form
    20,830.50/44,988 = 44,988/x
  3. Step 3: Cross multiply
    20,830.50x = 44,988 × 44,988
  4. Step 4: Simplify right side
    20,830.50x = 2,023,920,144
  5. Step 5: Solve for x
    x = 2,023,920,144/20,830.50
  6. Step 6: Final answer
    x = 97,161.38

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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.