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Finding the Third Proportional to 41,020 and 96,582

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Solution

The third proportional to 41,020 and 96,582 is: 227,403.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,020 : 96,582 = 96,582 : x
  2. Step 2: Convert to fraction form
    41,020/96,582 = 96,582/x
  3. Step 3: Cross multiply
    41,020x = 96,582 × 96,582
  4. Step 4: Simplify right side
    41,020x = 9,328,082,724
  5. Step 5: Solve for x
    x = 9,328,082,724/41,020
  6. Step 6: Final answer
    x = 227,403.28

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.