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Finding the Third Proportional to 23,610 and 49,146

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Solution

The third proportional to 23,610 and 49,146 is: 102,301.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,610 : 49,146 = 49,146 : x
  2. Step 2: Convert to fraction form
    23,610/49,146 = 49,146/x
  3. Step 3: Cross multiply
    23,610x = 49,146 × 49,146
  4. Step 4: Simplify right side
    23,610x = 2,415,329,316
  5. Step 5: Solve for x
    x = 2,415,329,316/23,610
  6. Step 6: Final answer
    x = 102,301.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.