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Finding the Third Proportional to 3,034.69 and 6,557.06

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Solution

The third proportional to 3,034.69 and 6,557.06 is: 14,167.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.69 : 6,557.06 = 6,557.06 : x
  2. Step 2: Convert to fraction form
    3,034.69/6,557.06 = 6,557.06/x
  3. Step 3: Cross multiply
    3,034.69x = 6,557.06 × 6,557.06
  4. Step 4: Simplify right side
    3,034.69x = 42,995,068.63
  5. Step 5: Solve for x
    x = 42,995,068.63/3,034.69
  6. Step 6: Final answer
    x = 14,167.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.