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Finding the Third Proportional to 21,219.47 and 46,326.94

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Solution

The third proportional to 21,219.47 and 46,326.94 is: 101,142.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,219.47 : 46,326.94 = 46,326.94 : x
  2. Step 2: Convert to fraction form
    21,219.47/46,326.94 = 46,326.94/x
  3. Step 3: Cross multiply
    21,219.47x = 46,326.94 × 46,326.94
  4. Step 4: Simplify right side
    21,219.47x = 2,146,185,138.13
  5. Step 5: Solve for x
    x = 2,146,185,138.13/21,219.47
  6. Step 6: Final answer
    x = 101,142.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.