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Finding the Third Proportional to 23,409 and 49,572

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Solution

The third proportional to 23,409 and 49,572 is: 104,976

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,409 : 49,572 = 49,572 : x
  2. Step 2: Convert to fraction form
    23,409/49,572 = 49,572/x
  3. Step 3: Cross multiply
    23,409x = 49,572 × 49,572
  4. Step 4: Simplify right side
    23,409x = 2,457,383,184
  5. Step 5: Solve for x
    x = 2,457,383,184/23,409
  6. Step 6: Final answer
    x = 104,976

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.