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Finding the Third Proportional to 38,047.22 and 54,080.16

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Solution

The third proportional to 38,047.22 and 54,080.16 is: 76,869.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,047.22 : 54,080.16 = 54,080.16 : x
  2. Step 2: Convert to fraction form
    38,047.22/54,080.16 = 54,080.16/x
  3. Step 3: Cross multiply
    38,047.22x = 54,080.16 × 54,080.16
  4. Step 4: Simplify right side
    38,047.22x = 2,924,663,300.02
  5. Step 5: Solve for x
    x = 2,924,663,300.02/38,047.22
  6. Step 6: Final answer
    x = 76,869.31

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.