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Finding the Third Proportional to 30,643.31 and 46,855.97

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Solution

The third proportional to 30,643.31 and 46,855.97 is: 71,646.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,643.31 : 46,855.97 = 46,855.97 : x
  2. Step 2: Convert to fraction form
    30,643.31/46,855.97 = 46,855.97/x
  3. Step 3: Cross multiply
    30,643.31x = 46,855.97 × 46,855.97
  4. Step 4: Simplify right side
    30,643.31x = 2,195,481,807.50
  5. Step 5: Solve for x
    x = 2,195,481,807.50/30,643.31
  6. Step 6: Final answer
    x = 71,646.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.