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Finding the Third Proportional to 14,676.19 and 31,174.88

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Solution

The third proportional to 14,676.19 and 31,174.88 is: 66,221.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,676.19 : 31,174.88 = 31,174.88 : x
  2. Step 2: Convert to fraction form
    14,676.19/31,174.88 = 31,174.88/x
  3. Step 3: Cross multiply
    14,676.19x = 31,174.88 × 31,174.88
  4. Step 4: Simplify right side
    14,676.19x = 971,872,831.27
  5. Step 5: Solve for x
    x = 971,872,831.27/14,676.19
  6. Step 6: Final answer
    x = 66,221.07

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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.