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Finding the Third Proportional to 40,528 and 62,256

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Solution

The third proportional to 40,528 and 62,256 is: 95,632.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,528 : 62,256 = 62,256 : x
  2. Step 2: Convert to fraction form
    40,528/62,256 = 62,256/x
  3. Step 3: Cross multiply
    40,528x = 62,256 × 62,256
  4. Step 4: Simplify right side
    40,528x = 3,875,809,536
  5. Step 5: Solve for x
    x = 3,875,809,536/40,528
  6. Step 6: Final answer
    x = 95,632.88

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.