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Finding the Third Proportional to 10,296 and 21,537

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Solution

The third proportional to 10,296 and 21,537 is: 45,050.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296 : 21,537 = 21,537 : x
  2. Step 2: Convert to fraction form
    10,296/21,537 = 21,537/x
  3. Step 3: Cross multiply
    10,296x = 21,537 × 21,537
  4. Step 4: Simplify right side
    10,296x = 463,842,369
  5. Step 5: Solve for x
    x = 463,842,369/10,296
  6. Step 6: Final answer
    x = 45,050.74

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.