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Finding the Third Proportional to 6,184.78 and 14,585.30

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Solution

The third proportional to 6,184.78 and 14,585.30 is: 34,395.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.78 : 14,585.30 = 14,585.30 : x
  2. Step 2: Convert to fraction form
    6,184.78/14,585.30 = 14,585.30/x
  3. Step 3: Cross multiply
    6,184.78x = 14,585.30 × 14,585.30
  4. Step 4: Simplify right side
    6,184.78x = 212,730,884.93
  5. Step 5: Solve for x
    x = 212,730,884.93/6,184.78
  6. Step 6: Final answer
    x = 34,395.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.