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Finding the Third Proportional to 21,409.88 and 45,127.69

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Solution

The third proportional to 21,409.88 and 45,127.69 is: 95,120.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,409.88 : 45,127.69 = 45,127.69 : x
  2. Step 2: Convert to fraction form
    21,409.88/45,127.69 = 45,127.69/x
  3. Step 3: Cross multiply
    21,409.88x = 45,127.69 × 45,127.69
  4. Step 4: Simplify right side
    21,409.88x = 2,036,508,179.10
  5. Step 5: Solve for x
    x = 2,036,508,179.10/21,409.88
  6. Step 6: Final answer
    x = 95,120.04

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.