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Finding the Third Proportional to 24,001 and 56,072

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Solution

The third proportional to 24,001 and 56,072 is: 130,997.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,001 : 56,072 = 56,072 : x
  2. Step 2: Convert to fraction form
    24,001/56,072 = 56,072/x
  3. Step 3: Cross multiply
    24,001x = 56,072 × 56,072
  4. Step 4: Simplify right side
    24,001x = 3,144,069,184
  5. Step 5: Solve for x
    x = 3,144,069,184/24,001
  6. Step 6: Final answer
    x = 130,997.42

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.