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Finding the Third Proportional to 6,227.51 and 9,101.74

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Solution

The third proportional to 6,227.51 and 9,101.74 is: 13,302.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227.51 : 9,101.74 = 9,101.74 : x
  2. Step 2: Convert to fraction form
    6,227.51/9,101.74 = 9,101.74/x
  3. Step 3: Cross multiply
    6,227.51x = 9,101.74 × 9,101.74
  4. Step 4: Simplify right side
    6,227.51x = 82,841,710.85
  5. Step 5: Solve for x
    x = 82,841,710.85/6,227.51
  6. Step 6: Final answer
    x = 13,302.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.