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Finding the Third Proportional to 6,179.06 and 14,580.56

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Solution

The third proportional to 6,179.06 and 14,580.56 is: 34,405.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,179.06 : 14,580.56 = 14,580.56 : x
  2. Step 2: Convert to fraction form
    6,179.06/14,580.56 = 14,580.56/x
  3. Step 3: Cross multiply
    6,179.06x = 14,580.56 × 14,580.56
  4. Step 4: Simplify right side
    6,179.06x = 212,592,802.82
  5. Step 5: Solve for x
    x = 212,592,802.82/6,179.06
  6. Step 6: Final answer
    x = 34,405.35

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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.