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Finding the Third Proportional to 21,823 and 47,535

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Solution

The third proportional to 21,823 and 47,535 is: 103,541.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,823 : 47,535 = 47,535 : x
  2. Step 2: Convert to fraction form
    21,823/47,535 = 47,535/x
  3. Step 3: Cross multiply
    21,823x = 47,535 × 47,535
  4. Step 4: Simplify right side
    21,823x = 2,259,576,225
  5. Step 5: Solve for x
    x = 2,259,576,225/21,823
  6. Step 6: Final answer
    x = 103,541.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.