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Finding the Third Proportional to 10,054 and 15,313

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Solution

The third proportional to 10,054 and 15,313 is: 23,322.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054 : 15,313 = 15,313 : x
  2. Step 2: Convert to fraction form
    10,054/15,313 = 15,313/x
  3. Step 3: Cross multiply
    10,054x = 15,313 × 15,313
  4. Step 4: Simplify right side
    10,054x = 234,487,969
  5. Step 5: Solve for x
    x = 234,487,969/10,054
  6. Step 6: Final answer
    x = 23,322.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.