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Finding the Third Proportional to 5,672.53 and 12,355.98

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Solution

The third proportional to 5,672.53 and 12,355.98 is: 26,913.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.53 : 12,355.98 = 12,355.98 : x
  2. Step 2: Convert to fraction form
    5,672.53/12,355.98 = 12,355.98/x
  3. Step 3: Cross multiply
    5,672.53x = 12,355.98 × 12,355.98
  4. Step 4: Simplify right side
    5,672.53x = 152,670,253.34
  5. Step 5: Solve for x
    x = 152,670,253.34/5,672.53
  6. Step 6: Final answer
    x = 26,913.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.