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Finding the Third Proportional to 24,616 and 53,900

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Solution

The third proportional to 24,616 and 53,900 is: 118,021.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,616 : 53,900 = 53,900 : x
  2. Step 2: Convert to fraction form
    24,616/53,900 = 53,900/x
  3. Step 3: Cross multiply
    24,616x = 53,900 × 53,900
  4. Step 4: Simplify right side
    24,616x = 2,905,210,000
  5. Step 5: Solve for x
    x = 2,905,210,000/24,616
  6. Step 6: Final answer
    x = 118,021.21

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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.