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Finding the Third Proportional to 41,689.69 and 64,482.33

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Solution

The third proportional to 41,689.69 and 64,482.33 is: 99,736.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,689.69 : 64,482.33 = 64,482.33 : x
  2. Step 2: Convert to fraction form
    41,689.69/64,482.33 = 64,482.33/x
  3. Step 3: Cross multiply
    41,689.69x = 64,482.33 × 64,482.33
  4. Step 4: Simplify right side
    41,689.69x = 4,157,970,640.42
  5. Step 5: Solve for x
    x = 4,157,970,640.42/41,689.69
  6. Step 6: Final answer
    x = 99,736.19

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.