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Finding the Third Proportional to 56,649.38 and 83,408.06

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Solution

The third proportional to 56,649.38 and 83,408.06 is: 122,806.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,649.38 : 83,408.06 = 83,408.06 : x
  2. Step 2: Convert to fraction form
    56,649.38/83,408.06 = 83,408.06/x
  3. Step 3: Cross multiply
    56,649.38x = 83,408.06 × 83,408.06
  4. Step 4: Simplify right side
    56,649.38x = 6,956,904,890.00
  5. Step 5: Solve for x
    x = 6,956,904,890.00/56,649.38
  6. Step 6: Final answer
    x = 122,806.38

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.