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Finding the Third Proportional to 27,708 and 60,427.50

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Solution

The third proportional to 27,708 and 60,427.50 is: 131,784.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,708 : 60,427.50 = 60,427.50 : x
  2. Step 2: Convert to fraction form
    27,708/60,427.50 = 60,427.50/x
  3. Step 3: Cross multiply
    27,708x = 60,427.50 × 60,427.50
  4. Step 4: Simplify right side
    27,708x = 3,651,482,756.25
  5. Step 5: Solve for x
    x = 3,651,482,756.25/27,708
  6. Step 6: Final answer
    x = 131,784.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.