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Finding the Third Proportional to 5,304.66 and 8,024.06

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Solution

The third proportional to 5,304.66 and 8,024.06 is: 12,137.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304.66 : 8,024.06 = 8,024.06 : x
  2. Step 2: Convert to fraction form
    5,304.66/8,024.06 = 8,024.06/x
  3. Step 3: Cross multiply
    5,304.66x = 8,024.06 × 8,024.06
  4. Step 4: Simplify right side
    5,304.66x = 64,385,579.00
  5. Step 5: Solve for x
    x = 64,385,579.00/5,304.66
  6. Step 6: Final answer
    x = 12,137.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.