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Finding the Third Proportional to 21,966.75 and 48,021.75

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Solution

The third proportional to 21,966.75 and 48,021.75 is: 104,980.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,966.75 : 48,021.75 = 48,021.75 : x
  2. Step 2: Convert to fraction form
    21,966.75/48,021.75 = 48,021.75/x
  3. Step 3: Cross multiply
    21,966.75x = 48,021.75 × 48,021.75
  4. Step 4: Simplify right side
    21,966.75x = 2,306,088,473.06
  5. Step 5: Solve for x
    x = 2,306,088,473.06/21,966.75
  6. Step 6: Final answer
    x = 104,980.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.