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Finding the Third Proportional to 20,142 and 44,311.50

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Solution

The third proportional to 20,142 and 44,311.50 is: 97,483.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142 : 44,311.50 = 44,311.50 : x
  2. Step 2: Convert to fraction form
    20,142/44,311.50 = 44,311.50/x
  3. Step 3: Cross multiply
    20,142x = 44,311.50 × 44,311.50
  4. Step 4: Simplify right side
    20,142x = 1,963,509,032.25
  5. Step 5: Solve for x
    x = 1,963,509,032.25/20,142
  6. Step 6: Final answer
    x = 97,483.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.