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Finding the Third Proportional to 24,529 and 53,804

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Solution

The third proportional to 24,529 and 53,804 is: 118,018.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,529 : 53,804 = 53,804 : x
  2. Step 2: Convert to fraction form
    24,529/53,804 = 53,804/x
  3. Step 3: Cross multiply
    24,529x = 53,804 × 53,804
  4. Step 4: Simplify right side
    24,529x = 2,894,870,416
  5. Step 5: Solve for x
    x = 2,894,870,416/24,529
  6. Step 6: Final answer
    x = 118,018.28

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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.