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Finding the Third Proportional to 39,457.13 and 82,422.56

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Solution

The third proportional to 39,457.13 and 82,422.56 is: 172,173.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,457.13 : 82,422.56 = 82,422.56 : x
  2. Step 2: Convert to fraction form
    39,457.13/82,422.56 = 82,422.56/x
  3. Step 3: Cross multiply
    39,457.13x = 82,422.56 × 82,422.56
  4. Step 4: Simplify right side
    39,457.13x = 6,793,478,809.07
  5. Step 5: Solve for x
    x = 6,793,478,809.07/39,457.13
  6. Step 6: Final answer
    x = 172,173.69

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.