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Finding the Third Proportional to 5,243.48 and 8,184.16

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Solution

The third proportional to 5,243.48 and 8,184.16 is: 12,774.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.48 : 8,184.16 = 8,184.16 : x
  2. Step 2: Convert to fraction form
    5,243.48/8,184.16 = 8,184.16/x
  3. Step 3: Cross multiply
    5,243.48x = 8,184.16 × 8,184.16
  4. Step 4: Simplify right side
    5,243.48x = 66,980,541.40
  5. Step 5: Solve for x
    x = 66,980,541.40/5,243.48
  6. Step 6: Final answer
    x = 12,774.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.