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Finding the Third Proportional to 21,495 and 46,165

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Solution

The third proportional to 21,495 and 46,165 is: 99,148.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,495 : 46,165 = 46,165 : x
  2. Step 2: Convert to fraction form
    21,495/46,165 = 46,165/x
  3. Step 3: Cross multiply
    21,495x = 46,165 × 46,165
  4. Step 4: Simplify right side
    21,495x = 2,131,207,225
  5. Step 5: Solve for x
    x = 2,131,207,225/21,495
  6. Step 6: Final answer
    x = 99,148.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.