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Finding the Third Proportional to 28,164 and 37,918

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Solution

The third proportional to 28,164 and 37,918 is: 51,050.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,164 : 37,918 = 37,918 : x
  2. Step 2: Convert to fraction form
    28,164/37,918 = 37,918/x
  3. Step 3: Cross multiply
    28,164x = 37,918 × 37,918
  4. Step 4: Simplify right side
    28,164x = 1,437,774,724
  5. Step 5: Solve for x
    x = 1,437,774,724/28,164
  6. Step 6: Final answer
    x = 51,050.09

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.