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Finding the Third Proportional to 27,830.25 and 43,041.38

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Solution

The third proportional to 27,830.25 and 43,041.38 is: 66,566.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,830.25 : 43,041.38 = 43,041.38 : x
  2. Step 2: Convert to fraction form
    27,830.25/43,041.38 = 43,041.38/x
  3. Step 3: Cross multiply
    27,830.25x = 43,041.38 × 43,041.38
  4. Step 4: Simplify right side
    27,830.25x = 1,852,559,961.89
  5. Step 5: Solve for x
    x = 1,852,559,961.89/27,830.25
  6. Step 6: Final answer
    x = 66,566.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.