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Finding the Third Proportional to 20,043 and 42,766.50

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Solution

The third proportional to 20,043 and 42,766.50 is: 91,252.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,043 : 42,766.50 = 42,766.50 : x
  2. Step 2: Convert to fraction form
    20,043/42,766.50 = 42,766.50/x
  3. Step 3: Cross multiply
    20,043x = 42,766.50 × 42,766.50
  4. Step 4: Simplify right side
    20,043x = 1,828,973,522.25
  5. Step 5: Solve for x
    x = 1,828,973,522.25/20,043
  6. Step 6: Final answer
    x = 91,252.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.