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Finding the Third Proportional to 31,045.78 and 65,789.72

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Solution

The third proportional to 31,045.78 and 65,789.72 is: 139,416.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,045.78 : 65,789.72 = 65,789.72 : x
  2. Step 2: Convert to fraction form
    31,045.78/65,789.72 = 65,789.72/x
  3. Step 3: Cross multiply
    31,045.78x = 65,789.72 × 65,789.72
  4. Step 4: Simplify right side
    31,045.78x = 4,328,287,093.20
  5. Step 5: Solve for x
    x = 4,328,287,093.20/31,045.78
  6. Step 6: Final answer
    x = 139,416.27

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.