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Finding the Third Proportional to 27,770.53 and 39,684.09

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Solution

The third proportional to 27,770.53 and 39,684.09 is: 56,708.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,770.53 : 39,684.09 = 39,684.09 : x
  2. Step 2: Convert to fraction form
    27,770.53/39,684.09 = 39,684.09/x
  3. Step 3: Cross multiply
    27,770.53x = 39,684.09 × 39,684.09
  4. Step 4: Simplify right side
    27,770.53x = 1,574,827,296.76
  5. Step 5: Solve for x
    x = 1,574,827,296.76/27,770.53
  6. Step 6: Final answer
    x = 56,708.58

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.