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Finding the Third Proportional to 24,884 and 53,470

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Solution

The third proportional to 24,884 and 53,470 is: 114,894.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,884 : 53,470 = 53,470 : x
  2. Step 2: Convert to fraction form
    24,884/53,470 = 53,470/x
  3. Step 3: Cross multiply
    24,884x = 53,470 × 53,470
  4. Step 4: Simplify right side
    24,884x = 2,859,040,900
  5. Step 5: Solve for x
    x = 2,859,040,900/24,884
  6. Step 6: Final answer
    x = 114,894.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.