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Finding the Third Proportional to 41,414.63 and 64,582.31

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Solution

The third proportional to 41,414.63 and 64,582.31 is: 100,710.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,414.63 : 64,582.31 = 64,582.31 : x
  2. Step 2: Convert to fraction form
    41,414.63/64,582.31 = 64,582.31/x
  3. Step 3: Cross multiply
    41,414.63x = 64,582.31 × 64,582.31
  4. Step 4: Simplify right side
    41,414.63x = 4,170,875,087.85
  5. Step 5: Solve for x
    x = 4,170,875,087.85/41,414.63
  6. Step 6: Final answer
    x = 100,710.20

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.