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Finding the Third Proportional to 39,429 and 56,676.50

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Solution

The third proportional to 39,429 and 56,676.50 is: 81,468.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,429 : 56,676.50 = 56,676.50 : x
  2. Step 2: Convert to fraction form
    39,429/56,676.50 = 56,676.50/x
  3. Step 3: Cross multiply
    39,429x = 56,676.50 × 56,676.50
  4. Step 4: Simplify right side
    39,429x = 3,212,225,652.25
  5. Step 5: Solve for x
    x = 3,212,225,652.25/39,429
  6. Step 6: Final answer
    x = 81,468.61

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.