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Finding the Third Proportional to 31,114 and 46,896

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Solution

The third proportional to 31,114 and 46,896 is: 70,683.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,114 : 46,896 = 46,896 : x
  2. Step 2: Convert to fraction form
    31,114/46,896 = 46,896/x
  3. Step 3: Cross multiply
    31,114x = 46,896 × 46,896
  4. Step 4: Simplify right side
    31,114x = 2,199,234,816
  5. Step 5: Solve for x
    x = 2,199,234,816/31,114
  6. Step 6: Final answer
    x = 70,683.13

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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.