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Finding the Third Proportional to 24,780 and 53,664

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Solution

The third proportional to 24,780 and 53,664 is: 116,215.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,780 : 53,664 = 53,664 : x
  2. Step 2: Convert to fraction form
    24,780/53,664 = 53,664/x
  3. Step 3: Cross multiply
    24,780x = 53,664 × 53,664
  4. Step 4: Simplify right side
    24,780x = 2,879,824,896
  5. Step 5: Solve for x
    x = 2,879,824,896/24,780
  6. Step 6: Final answer
    x = 116,215.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.