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Finding the Third Proportional to 46,677.94 and 70,721.44

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Solution

The third proportional to 46,677.94 and 70,721.44 is: 107,149.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,677.94 : 70,721.44 = 70,721.44 : x
  2. Step 2: Convert to fraction form
    46,677.94/70,721.44 = 70,721.44/x
  3. Step 3: Cross multiply
    46,677.94x = 70,721.44 × 70,721.44
  4. Step 4: Simplify right side
    46,677.94x = 5,001,521,722.07
  5. Step 5: Solve for x
    x = 5,001,521,722.07/46,677.94
  6. Step 6: Final answer
    x = 107,149.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.