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Finding the Third Proportional to 20,964 and 45,195

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Solution

The third proportional to 20,964 and 45,195 is: 97,433.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,964 : 45,195 = 45,195 : x
  2. Step 2: Convert to fraction form
    20,964/45,195 = 45,195/x
  3. Step 3: Cross multiply
    20,964x = 45,195 × 45,195
  4. Step 4: Simplify right side
    20,964x = 2,042,588,025
  5. Step 5: Solve for x
    x = 2,042,588,025/20,964
  6. Step 6: Final answer
    x = 97,433.12

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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.