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Finding the Third Proportional to 21,310.25 and 46,775.25

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Solution

The third proportional to 21,310.25 and 46,775.25 is: 102,670.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,310.25 : 46,775.25 = 46,775.25 : x
  2. Step 2: Convert to fraction form
    21,310.25/46,775.25 = 46,775.25/x
  3. Step 3: Cross multiply
    21,310.25x = 46,775.25 × 46,775.25
  4. Step 4: Simplify right side
    21,310.25x = 2,187,924,012.56
  5. Step 5: Solve for x
    x = 2,187,924,012.56/21,310.25
  6. Step 6: Final answer
    x = 102,670.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.