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Finding the Third Proportional to 24,975 and 53,186.63

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Solution

The third proportional to 24,975 and 53,186.63 is: 113,265.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,975 : 53,186.63 = 53,186.63 : x
  2. Step 2: Convert to fraction form
    24,975/53,186.63 = 53,186.63/x
  3. Step 3: Cross multiply
    24,975x = 53,186.63 × 53,186.63
  4. Step 4: Simplify right side
    24,975x = 2,828,817,078.89
  5. Step 5: Solve for x
    x = 2,828,817,078.89/24,975
  6. Step 6: Final answer
    x = 113,265.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.