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Finding the Third Proportional to 14,970 and 31,942.50

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Solution

The third proportional to 14,970 and 31,942.50 is: 68,157.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,970 : 31,942.50 = 31,942.50 : x
  2. Step 2: Convert to fraction form
    14,970/31,942.50 = 31,942.50/x
  3. Step 3: Cross multiply
    14,970x = 31,942.50 × 31,942.50
  4. Step 4: Simplify right side
    14,970x = 1,020,323,306.25
  5. Step 5: Solve for x
    x = 1,020,323,306.25/14,970
  6. Step 6: Final answer
    x = 68,157.87

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.