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Finding the Third Proportional to 31,234.50 and 46,024.88

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Solution

The third proportional to 31,234.50 and 46,024.88 is: 67,818.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,234.50 : 46,024.88 = 46,024.88 : x
  2. Step 2: Convert to fraction form
    31,234.50/46,024.88 = 46,024.88/x
  3. Step 3: Cross multiply
    31,234.50x = 46,024.88 × 46,024.88
  4. Step 4: Simplify right side
    31,234.50x = 2,118,289,118.77
  5. Step 5: Solve for x
    x = 2,118,289,118.77/31,234.50
  6. Step 6: Final answer
    x = 67,818.89

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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.