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Finding the Third Proportional to 10,269 and 14,674.13

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Solution

The third proportional to 10,269 and 14,674.13 is: 20,968.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,269 : 14,674.13 = 14,674.13 : x
  2. Step 2: Convert to fraction form
    10,269/14,674.13 = 14,674.13/x
  3. Step 3: Cross multiply
    10,269x = 14,674.13 × 14,674.13
  4. Step 4: Simplify right side
    10,269x = 215,329,944.52
  5. Step 5: Solve for x
    x = 215,329,944.52/10,269
  6. Step 6: Final answer
    x = 20,968.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.