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Finding the Third Proportional to 6,182.79 and 14,580.49

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Solution

The third proportional to 6,182.79 and 14,580.49 is: 34,384.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.79 : 14,580.49 = 14,580.49 : x
  2. Step 2: Convert to fraction form
    6,182.79/14,580.49 = 14,580.49/x
  3. Step 3: Cross multiply
    6,182.79x = 14,580.49 × 14,580.49
  4. Step 4: Simplify right side
    6,182.79x = 212,590,752.43
  5. Step 5: Solve for x
    x = 212,590,752.43/6,182.79
  6. Step 6: Final answer
    x = 34,384.28

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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.