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Finding the Third Proportional to 46,371.23 and 70,211.81

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Solution

The third proportional to 46,371.23 and 70,211.81 is: 106,309.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,371.23 : 70,211.81 = 70,211.81 : x
  2. Step 2: Convert to fraction form
    46,371.23/70,211.81 = 70,211.81/x
  3. Step 3: Cross multiply
    46,371.23x = 70,211.81 × 70,211.81
  4. Step 4: Simplify right side
    46,371.23x = 4,929,698,614.54
  5. Step 5: Solve for x
    x = 4,929,698,614.54/46,371.23
  6. Step 6: Final answer
    x = 106,309.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.