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Finding the Third Proportional to 30,416.91 and 40,687.31

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Solution

The third proportional to 30,416.91 and 40,687.31 is: 54,425.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,416.91 : 40,687.31 = 40,687.31 : x
  2. Step 2: Convert to fraction form
    30,416.91/40,687.31 = 40,687.31/x
  3. Step 3: Cross multiply
    30,416.91x = 40,687.31 × 40,687.31
  4. Step 4: Simplify right side
    30,416.91x = 1,655,457,398.47
  5. Step 5: Solve for x
    x = 1,655,457,398.47/30,416.91
  6. Step 6: Final answer
    x = 54,425.57

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.