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Finding the Third Proportional to 35,207.44 and 78,287.06

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Solution

The third proportional to 35,207.44 and 78,287.06 is: 174,078.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,207.44 : 78,287.06 = 78,287.06 : x
  2. Step 2: Convert to fraction form
    35,207.44/78,287.06 = 78,287.06/x
  3. Step 3: Cross multiply
    35,207.44x = 78,287.06 × 78,287.06
  4. Step 4: Simplify right side
    35,207.44x = 6,128,864,154.88
  5. Step 5: Solve for x
    x = 6,128,864,154.88/35,207.44
  6. Step 6: Final answer
    x = 174,078.68

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.