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Finding the Third Proportional to 24,024 and 56,097

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Solution

The third proportional to 24,024 and 56,097 is: 130,988.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,024 : 56,097 = 56,097 : x
  2. Step 2: Convert to fraction form
    24,024/56,097 = 56,097/x
  3. Step 3: Cross multiply
    24,024x = 56,097 × 56,097
  4. Step 4: Simplify right side
    24,024x = 3,146,873,409
  5. Step 5: Solve for x
    x = 3,146,873,409/24,024
  6. Step 6: Final answer
    x = 130,988.74

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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.