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Finding the Third Proportional to 23,618 and 56,405

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Solution

The third proportional to 23,618 and 56,405 is: 134,707.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,618 : 56,405 = 56,405 : x
  2. Step 2: Convert to fraction form
    23,618/56,405 = 56,405/x
  3. Step 3: Cross multiply
    23,618x = 56,405 × 56,405
  4. Step 4: Simplify right side
    23,618x = 3,181,524,025
  5. Step 5: Solve for x
    x = 3,181,524,025/23,618
  6. Step 6: Final answer
    x = 134,707.60

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.