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Finding the Third Proportional to 23,984 and 52,726

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Solution

The third proportional to 23,984 and 52,726 is: 115,911.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,984 : 52,726 = 52,726 : x
  2. Step 2: Convert to fraction form
    23,984/52,726 = 52,726/x
  3. Step 3: Cross multiply
    23,984x = 52,726 × 52,726
  4. Step 4: Simplify right side
    23,984x = 2,780,031,076
  5. Step 5: Solve for x
    x = 2,780,031,076/23,984
  6. Step 6: Final answer
    x = 115,911.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.