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Finding the Third Proportional to 21,520.69 and 46,344.66

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Solution

The third proportional to 21,520.69 and 46,344.66 is: 99,802.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,520.69 : 46,344.66 = 46,344.66 : x
  2. Step 2: Convert to fraction form
    21,520.69/46,344.66 = 46,344.66/x
  3. Step 3: Cross multiply
    21,520.69x = 46,344.66 × 46,344.66
  4. Step 4: Simplify right side
    21,520.69x = 2,147,827,162.93
  5. Step 5: Solve for x
    x = 2,147,827,162.93/21,520.69
  6. Step 6: Final answer
    x = 99,802.91

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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.