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Finding the Third Proportional to 10,515 and 22,938

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Solution

The third proportional to 10,515 and 22,938 is: 50,038.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515 : 22,938 = 22,938 : x
  2. Step 2: Convert to fraction form
    10,515/22,938 = 22,938/x
  3. Step 3: Cross multiply
    10,515x = 22,938 × 22,938
  4. Step 4: Simplify right side
    10,515x = 526,151,844
  5. Step 5: Solve for x
    x = 526,151,844/10,515
  6. Step 6: Final answer
    x = 50,038.22

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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.