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Finding the Third Proportional to 31,602 and 42,405

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Solution

The third proportional to 31,602 and 42,405 is: 56,900.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,602 : 42,405 = 42,405 : x
  2. Step 2: Convert to fraction form
    31,602/42,405 = 42,405/x
  3. Step 3: Cross multiply
    31,602x = 42,405 × 42,405
  4. Step 4: Simplify right side
    31,602x = 1,798,184,025
  5. Step 5: Solve for x
    x = 1,798,184,025/31,602
  6. Step 6: Final answer
    x = 56,900.96

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.