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Finding the Third Proportional to 2,988.14 and 6,552.14

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Solution

The third proportional to 2,988.14 and 6,552.14 is: 14,366.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,988.14 : 6,552.14 = 6,552.14 : x
  2. Step 2: Convert to fraction form
    2,988.14/6,552.14 = 6,552.14/x
  3. Step 3: Cross multiply
    2,988.14x = 6,552.14 × 6,552.14
  4. Step 4: Simplify right side
    2,988.14x = 42,930,546.77
  5. Step 5: Solve for x
    x = 42,930,546.77/2,988.14
  6. Step 6: Final answer
    x = 14,366.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.