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Finding the Third Proportional to 10,226 and 15,146

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Solution

The third proportional to 10,226 and 15,146 is: 22,433.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226 : 15,146 = 15,146 : x
  2. Step 2: Convert to fraction form
    10,226/15,146 = 15,146/x
  3. Step 3: Cross multiply
    10,226x = 15,146 × 15,146
  4. Step 4: Simplify right side
    10,226x = 229,401,316
  5. Step 5: Solve for x
    x = 229,401,316/10,226
  6. Step 6: Final answer
    x = 22,433.14

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.