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Finding the Third Proportional to 24,089 and 51,526

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Solution

The third proportional to 24,089 and 51,526 is: 110,213.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,089 : 51,526 = 51,526 : x
  2. Step 2: Convert to fraction form
    24,089/51,526 = 51,526/x
  3. Step 3: Cross multiply
    24,089x = 51,526 × 51,526
  4. Step 4: Simplify right side
    24,089x = 2,654,928,676
  5. Step 5: Solve for x
    x = 2,654,928,676/24,089
  6. Step 6: Final answer
    x = 110,213.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.