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Finding the Third Proportional to 43,628.63 and 65,382.19

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Solution

The third proportional to 43,628.63 and 65,382.19 is: 97,982.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,628.63 : 65,382.19 = 65,382.19 : x
  2. Step 2: Convert to fraction form
    43,628.63/65,382.19 = 65,382.19/x
  3. Step 3: Cross multiply
    43,628.63x = 65,382.19 × 65,382.19
  4. Step 4: Simplify right side
    43,628.63x = 4,274,830,442.29
  5. Step 5: Solve for x
    x = 4,274,830,442.29/43,628.63
  6. Step 6: Final answer
    x = 97,982.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.