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Finding the Third Proportional to 41,714.44 and 86,386.13

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Solution

The third proportional to 41,714.44 and 86,386.13 is: 178,896.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,714.44 : 86,386.13 = 86,386.13 : x
  2. Step 2: Convert to fraction form
    41,714.44/86,386.13 = 86,386.13/x
  3. Step 3: Cross multiply
    41,714.44x = 86,386.13 × 86,386.13
  4. Step 4: Simplify right side
    41,714.44x = 7,462,562,592.52
  5. Step 5: Solve for x
    x = 7,462,562,592.52/41,714.44
  6. Step 6: Final answer
    x = 178,896.40

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.