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Finding the Third Proportional to 57,386.50 and 76,967

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Solution

The third proportional to 57,386.50 and 76,967 is: 103,228.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,386.50 : 76,967 = 76,967 : x
  2. Step 2: Convert to fraction form
    57,386.50/76,967 = 76,967/x
  3. Step 3: Cross multiply
    57,386.50x = 76,967 × 76,967
  4. Step 4: Simplify right side
    57,386.50x = 5,923,919,089
  5. Step 5: Solve for x
    x = 5,923,919,089/57,386.50
  6. Step 6: Final answer
    x = 103,228.44

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Why These Related Problems?

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