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Finding the Third Proportional to 31,673 and 42,513

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Solution

The third proportional to 31,673 and 42,513 is: 57,062.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,673 : 42,513 = 42,513 : x
  2. Step 2: Convert to fraction form
    31,673/42,513 = 42,513/x
  3. Step 3: Cross multiply
    31,673x = 42,513 × 42,513
  4. Step 4: Simplify right side
    31,673x = 1,807,355,169
  5. Step 5: Solve for x
    x = 1,807,355,169/31,673
  6. Step 6: Final answer
    x = 57,062.96

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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.