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Finding the Third Proportional to 21,835 and 46,785

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Solution

The third proportional to 21,835 and 46,785 is: 100,244.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,835 : 46,785 = 46,785 : x
  2. Step 2: Convert to fraction form
    21,835/46,785 = 46,785/x
  3. Step 3: Cross multiply
    21,835x = 46,785 × 46,785
  4. Step 4: Simplify right side
    21,835x = 2,188,836,225
  5. Step 5: Solve for x
    x = 2,188,836,225/21,835
  6. Step 6: Final answer
    x = 100,244.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.