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Finding the Third Proportional to 23,063 and 34,807

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Solution

The third proportional to 23,063 and 34,807 is: 52,531.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,063 : 34,807 = 34,807 : x
  2. Step 2: Convert to fraction form
    23,063/34,807 = 34,807/x
  3. Step 3: Cross multiply
    23,063x = 34,807 × 34,807
  4. Step 4: Simplify right side
    23,063x = 1,211,527,249
  5. Step 5: Solve for x
    x = 1,211,527,249/23,063
  6. Step 6: Final answer
    x = 52,531.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.