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Finding the Third Proportional to 27,954 and 60,829.50

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Solution

The third proportional to 27,954 and 60,829.50 is: 132,368.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,954 : 60,829.50 = 60,829.50 : x
  2. Step 2: Convert to fraction form
    27,954/60,829.50 = 60,829.50/x
  3. Step 3: Cross multiply
    27,954x = 60,829.50 × 60,829.50
  4. Step 4: Simplify right side
    27,954x = 3,700,228,070.25
  5. Step 5: Solve for x
    x = 3,700,228,070.25/27,954
  6. Step 6: Final answer
    x = 132,368.46

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