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Finding the Third Proportional to 27,720 and 60,970.50

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Solution

The third proportional to 27,720 and 60,970.50 is: 134,105.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,720 : 60,970.50 = 60,970.50 : x
  2. Step 2: Convert to fraction form
    27,720/60,970.50 = 60,970.50/x
  3. Step 3: Cross multiply
    27,720x = 60,970.50 × 60,970.50
  4. Step 4: Simplify right side
    27,720x = 3,717,401,870.25
  5. Step 5: Solve for x
    x = 3,717,401,870.25/27,720
  6. Step 6: Final answer
    x = 134,105.41

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.