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Finding the Third Proportional to 22,234.50 and 31,848.19

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Solution

The third proportional to 22,234.50 and 31,848.19 is: 45,618.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,234.50 : 31,848.19 = 31,848.19 : x
  2. Step 2: Convert to fraction form
    22,234.50/31,848.19 = 31,848.19/x
  3. Step 3: Cross multiply
    22,234.50x = 31,848.19 × 31,848.19
  4. Step 4: Simplify right side
    22,234.50x = 1,014,307,047.04
  5. Step 5: Solve for x
    x = 1,014,307,047.04/22,234.50
  6. Step 6: Final answer
    x = 45,618.61

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.