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Finding the Third Proportional to 46,886 and 62,632

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Solution

The third proportional to 46,886 and 62,632 is: 83,666.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,886 : 62,632 = 62,632 : x
  2. Step 2: Convert to fraction form
    46,886/62,632 = 62,632/x
  3. Step 3: Cross multiply
    46,886x = 62,632 × 62,632
  4. Step 4: Simplify right side
    46,886x = 3,922,767,424
  5. Step 5: Solve for x
    x = 3,922,767,424/46,886
  6. Step 6: Final answer
    x = 83,666.07

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.