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Finding the Third Proportional to 10,051 and 21,559

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Solution

The third proportional to 10,051 and 21,559 is: 46,243.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,051 : 21,559 = 21,559 : x
  2. Step 2: Convert to fraction form
    10,051/21,559 = 21,559/x
  3. Step 3: Cross multiply
    10,051x = 21,559 × 21,559
  4. Step 4: Simplify right side
    10,051x = 464,790,481
  5. Step 5: Solve for x
    x = 464,790,481/10,051
  6. Step 6: Final answer
    x = 46,243.21

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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.