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Finding the Third Proportional to 23,907 and 49,534.50

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Solution

The third proportional to 23,907 and 49,534.50 is: 102,633.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,907 : 49,534.50 = 49,534.50 : x
  2. Step 2: Convert to fraction form
    23,907/49,534.50 = 49,534.50/x
  3. Step 3: Cross multiply
    23,907x = 49,534.50 × 49,534.50
  4. Step 4: Simplify right side
    23,907x = 2,453,666,690.25
  5. Step 5: Solve for x
    x = 2,453,666,690.25/23,907
  6. Step 6: Final answer
    x = 102,633.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.