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Finding the Third Proportional to 24,489 and 53,133

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Solution

The third proportional to 24,489 and 53,133 is: 115,280.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,489 : 53,133 = 53,133 : x
  2. Step 2: Convert to fraction form
    24,489/53,133 = 53,133/x
  3. Step 3: Cross multiply
    24,489x = 53,133 × 53,133
  4. Step 4: Simplify right side
    24,489x = 2,823,115,689
  5. Step 5: Solve for x
    x = 2,823,115,689/24,489
  6. Step 6: Final answer
    x = 115,280.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.