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Finding the Third Proportional to 10,715 and 23,253

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Solution

The third proportional to 10,715 and 23,253 is: 50,462.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,715 : 23,253 = 23,253 : x
  2. Step 2: Convert to fraction form
    10,715/23,253 = 23,253/x
  3. Step 3: Cross multiply
    10,715x = 23,253 × 23,253
  4. Step 4: Simplify right side
    10,715x = 540,702,009
  5. Step 5: Solve for x
    x = 540,702,009/10,715
  6. Step 6: Final answer
    x = 50,462.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.