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Finding the Third Proportional to 27,742.50 and 60,675.33

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Solution

The third proportional to 27,742.50 and 60,675.33 is: 132,702.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,742.50 : 60,675.33 = 60,675.33 : x
  2. Step 2: Convert to fraction form
    27,742.50/60,675.33 = 60,675.33/x
  3. Step 3: Cross multiply
    27,742.50x = 60,675.33 × 60,675.33
  4. Step 4: Simplify right side
    27,742.50x = 3,681,495,443.08
  5. Step 5: Solve for x
    x = 3,681,495,443.08/27,742.50
  6. Step 6: Final answer
    x = 132,702.37

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.