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Finding the Third Proportional to 24,914 and 53,526

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Solution

The third proportional to 24,914 and 53,526 is: 114,996.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,914 : 53,526 = 53,526 : x
  2. Step 2: Convert to fraction form
    24,914/53,526 = 53,526/x
  3. Step 3: Cross multiply
    24,914x = 53,526 × 53,526
  4. Step 4: Simplify right side
    24,914x = 2,865,032,676
  5. Step 5: Solve for x
    x = 2,865,032,676/24,914
  6. Step 6: Final answer
    x = 114,996.90

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Why These Related Problems?

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