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Finding the Third Proportional to 5,386.31 and 8,047.08

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Solution

The third proportional to 5,386.31 and 8,047.08 is: 12,022.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,386.31 : 8,047.08 = 8,047.08 : x
  2. Step 2: Convert to fraction form
    5,386.31/8,047.08 = 8,047.08/x
  3. Step 3: Cross multiply
    5,386.31x = 8,047.08 × 8,047.08
  4. Step 4: Simplify right side
    5,386.31x = 64,755,466.35
  5. Step 5: Solve for x
    x = 64,755,466.35/5,386.31
  6. Step 6: Final answer
    x = 12,022.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.