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Finding the Third Proportional to 31,312 and 42,936

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Solution

The third proportional to 31,312 and 42,936 is: 58,875.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,312 : 42,936 = 42,936 : x
  2. Step 2: Convert to fraction form
    31,312/42,936 = 42,936/x
  3. Step 3: Cross multiply
    31,312x = 42,936 × 42,936
  4. Step 4: Simplify right side
    31,312x = 1,843,500,096
  5. Step 5: Solve for x
    x = 1,843,500,096/31,312
  6. Step 6: Final answer
    x = 58,875.19

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.