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Finding the Third Proportional to 6,228.14 and 9,655.45

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Solution

The third proportional to 6,228.14 and 9,655.45 is: 14,968.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,228.14 : 9,655.45 = 9,655.45 : x
  2. Step 2: Convert to fraction form
    6,228.14/9,655.45 = 9,655.45/x
  3. Step 3: Cross multiply
    6,228.14x = 9,655.45 × 9,655.45
  4. Step 4: Simplify right side
    6,228.14x = 93,227,775.05
  5. Step 5: Solve for x
    x = 93,227,775.05/6,228.14
  6. Step 6: Final answer
    x = 14,968.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.