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Finding the Third Proportional to 24,138 and 56,385

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Solution

The third proportional to 24,138 and 56,385 is: 131,712.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,138 : 56,385 = 56,385 : x
  2. Step 2: Convert to fraction form
    24,138/56,385 = 56,385/x
  3. Step 3: Cross multiply
    24,138x = 56,385 × 56,385
  4. Step 4: Simplify right side
    24,138x = 3,179,268,225
  5. Step 5: Solve for x
    x = 3,179,268,225/24,138
  6. Step 6: Final answer
    x = 131,712.16

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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.