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Finding the Third Proportional to 24,507 and 53,766

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Solution

The third proportional to 24,507 and 53,766 is: 117,957.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,507 : 53,766 = 53,766 : x
  2. Step 2: Convert to fraction form
    24,507/53,766 = 53,766/x
  3. Step 3: Cross multiply
    24,507x = 53,766 × 53,766
  4. Step 4: Simplify right side
    24,507x = 2,890,782,756
  5. Step 5: Solve for x
    x = 2,890,782,756/24,507
  6. Step 6: Final answer
    x = 117,957.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.