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Finding the Third Proportional to 30,631.50 and 41,572.13

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Solution

The third proportional to 30,631.50 and 41,572.13 is: 56,420.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,631.50 : 41,572.13 = 41,572.13 : x
  2. Step 2: Convert to fraction form
    30,631.50/41,572.13 = 41,572.13/x
  3. Step 3: Cross multiply
    30,631.50x = 41,572.13 × 41,572.13
  4. Step 4: Simplify right side
    30,631.50x = 1,728,241,577.02
  5. Step 5: Solve for x
    x = 1,728,241,577.02/30,631.50
  6. Step 6: Final answer
    x = 56,420.40

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.