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Finding the Third Proportional to 6,189.47 and 9,588.09

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Solution

The third proportional to 6,189.47 and 9,588.09 is: 14,852.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.47 : 9,588.09 = 9,588.09 : x
  2. Step 2: Convert to fraction form
    6,189.47/9,588.09 = 9,588.09/x
  3. Step 3: Cross multiply
    6,189.47x = 9,588.09 × 9,588.09
  4. Step 4: Simplify right side
    6,189.47x = 91,931,541.76
  5. Step 5: Solve for x
    x = 91,931,541.76/6,189.47
  6. Step 6: Final answer
    x = 14,852.90

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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.