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Finding the Third Proportional to 43,155 and 65,633

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Solution

The third proportional to 43,155 and 65,633 is: 99,819.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,155 : 65,633 = 65,633 : x
  2. Step 2: Convert to fraction form
    43,155/65,633 = 65,633/x
  3. Step 3: Cross multiply
    43,155x = 65,633 × 65,633
  4. Step 4: Simplify right side
    43,155x = 4,307,690,689
  5. Step 5: Solve for x
    x = 4,307,690,689/43,155
  6. Step 6: Final answer
    x = 99,819.04

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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.