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Finding the Third Proportional to 27,984 and 60,478.75

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Solution

The third proportional to 27,984 and 60,478.75 is: 130,706.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,984 : 60,478.75 = 60,478.75 : x
  2. Step 2: Convert to fraction form
    27,984/60,478.75 = 60,478.75/x
  3. Step 3: Cross multiply
    27,984x = 60,478.75 × 60,478.75
  4. Step 4: Simplify right side
    27,984x = 3,657,679,201.56
  5. Step 5: Solve for x
    x = 3,657,679,201.56/27,984
  6. Step 6: Final answer
    x = 130,706.09

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.