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Finding the Third Proportional to 46,586 and 65,855

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Solution

The third proportional to 46,586 and 65,855 is: 93,094.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,586 : 65,855 = 65,855 : x
  2. Step 2: Convert to fraction form
    46,586/65,855 = 65,855/x
  3. Step 3: Cross multiply
    46,586x = 65,855 × 65,855
  4. Step 4: Simplify right side
    46,586x = 4,336,881,025
  5. Step 5: Solve for x
    x = 4,336,881,025/46,586
  6. Step 6: Final answer
    x = 93,094.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.