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Finding the Third Proportional to 20,294 and 46,607

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Solution

The third proportional to 20,294 and 46,607 is: 107,037.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,294 : 46,607 = 46,607 : x
  2. Step 2: Convert to fraction form
    20,294/46,607 = 46,607/x
  3. Step 3: Cross multiply
    20,294x = 46,607 × 46,607
  4. Step 4: Simplify right side
    20,294x = 2,172,212,449
  5. Step 5: Solve for x
    x = 2,172,212,449/20,294
  6. Step 6: Final answer
    x = 107,037.18

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.