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Finding the Third Proportional to 24,740 and 54,664

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Solution

The third proportional to 24,740 and 54,664 is: 120,782.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,740 : 54,664 = 54,664 : x
  2. Step 2: Convert to fraction form
    24,740/54,664 = 54,664/x
  3. Step 3: Cross multiply
    24,740x = 54,664 × 54,664
  4. Step 4: Simplify right side
    24,740x = 2,988,152,896
  5. Step 5: Solve for x
    x = 2,988,152,896/24,740
  6. Step 6: Final answer
    x = 120,782.25

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.