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Finding the Third Proportional to 27,766.55 and 40,615.17

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Solution

The third proportional to 27,766.55 and 40,615.17 is: 59,409.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,766.55 : 40,615.17 = 40,615.17 : x
  2. Step 2: Convert to fraction form
    27,766.55/40,615.17 = 40,615.17/x
  3. Step 3: Cross multiply
    27,766.55x = 40,615.17 × 40,615.17
  4. Step 4: Simplify right side
    27,766.55x = 1,649,592,186.44
  5. Step 5: Solve for x
    x = 1,649,592,186.44/27,766.55
  6. Step 6: Final answer
    x = 59,409.34

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.