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Finding the Third Proportional to 24,075 and 53,683

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Solution

The third proportional to 24,075 and 53,683 is: 119,703.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,075 : 53,683 = 53,683 : x
  2. Step 2: Convert to fraction form
    24,075/53,683 = 53,683/x
  3. Step 3: Cross multiply
    24,075x = 53,683 × 53,683
  4. Step 4: Simplify right side
    24,075x = 2,881,864,489
  5. Step 5: Solve for x
    x = 2,881,864,489/24,075
  6. Step 6: Final answer
    x = 119,703.61

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.