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Finding the Third Proportional to 24,599 and 52,783

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Solution

The third proportional to 24,599 and 52,783 is: 113,258.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,599 : 52,783 = 52,783 : x
  2. Step 2: Convert to fraction form
    24,599/52,783 = 52,783/x
  3. Step 3: Cross multiply
    24,599x = 52,783 × 52,783
  4. Step 4: Simplify right side
    24,599x = 2,786,045,089
  5. Step 5: Solve for x
    x = 2,786,045,089/24,599
  6. Step 6: Final answer
    x = 113,258.47

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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.