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Finding the Third Proportional to 22,835 and 34,901

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Solution

The third proportional to 22,835 and 34,901 is: 53,342.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,835 : 34,901 = 34,901 : x
  2. Step 2: Convert to fraction form
    22,835/34,901 = 34,901/x
  3. Step 3: Cross multiply
    22,835x = 34,901 × 34,901
  4. Step 4: Simplify right side
    22,835x = 1,218,079,801
  5. Step 5: Solve for x
    x = 1,218,079,801/22,835
  6. Step 6: Final answer
    x = 53,342.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.