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Finding the Third Proportional to 20,963 and 45,047

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Solution

The third proportional to 20,963 and 45,047 is: 96,800.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,963 : 45,047 = 45,047 : x
  2. Step 2: Convert to fraction form
    20,963/45,047 = 45,047/x
  3. Step 3: Cross multiply
    20,963x = 45,047 × 45,047
  4. Step 4: Simplify right side
    20,963x = 2,029,232,209
  5. Step 5: Solve for x
    x = 2,029,232,209/20,963
  6. Step 6: Final answer
    x = 96,800.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.