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Finding the Third Proportional to 10,206.97 and 21,871.94

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Solution

The third proportional to 10,206.97 and 21,871.94 is: 46,868.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206.97 : 21,871.94 = 21,871.94 : x
  2. Step 2: Convert to fraction form
    10,206.97/21,871.94 = 21,871.94/x
  3. Step 3: Cross multiply
    10,206.97x = 21,871.94 × 21,871.94
  4. Step 4: Simplify right side
    10,206.97x = 478,381,650.00
  5. Step 5: Solve for x
    x = 478,381,650.00/10,206.97
  6. Step 6: Final answer
    x = 46,868.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.