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Finding the Third Proportional to 14,951.50 and 31,451.50

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Solution

The third proportional to 14,951.50 and 31,451.50 is: 66,160.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,951.50 : 31,451.50 = 31,451.50 : x
  2. Step 2: Convert to fraction form
    14,951.50/31,451.50 = 31,451.50/x
  3. Step 3: Cross multiply
    14,951.50x = 31,451.50 × 31,451.50
  4. Step 4: Simplify right side
    14,951.50x = 989,196,852.25
  5. Step 5: Solve for x
    x = 989,196,852.25/14,951.50
  6. Step 6: Final answer
    x = 66,160.38

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.