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Finding the Third Proportional to 23,276 and 49,603

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Solution

The third proportional to 23,276 and 49,603 is: 105,707.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,276 : 49,603 = 49,603 : x
  2. Step 2: Convert to fraction form
    23,276/49,603 = 49,603/x
  3. Step 3: Cross multiply
    23,276x = 49,603 × 49,603
  4. Step 4: Simplify right side
    23,276x = 2,460,457,609
  5. Step 5: Solve for x
    x = 2,460,457,609/23,276
  6. Step 6: Final answer
    x = 105,707.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.