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Finding the Third Proportional to 46,824.75 and 71,965.13

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Solution

The third proportional to 46,824.75 and 71,965.13 is: 110,603.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,824.75 : 71,965.13 = 71,965.13 : x
  2. Step 2: Convert to fraction form
    46,824.75/71,965.13 = 71,965.13/x
  3. Step 3: Cross multiply
    46,824.75x = 71,965.13 × 71,965.13
  4. Step 4: Simplify right side
    46,824.75x = 5,178,979,216.27
  5. Step 5: Solve for x
    x = 5,178,979,216.27/46,824.75
  6. Step 6: Final answer
    x = 110,603.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.