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Finding the Third Proportional to 4,402.48 and 6,603.71

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Solution

The third proportional to 4,402.48 and 6,603.71 is: 9,905.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,402.48 : 6,603.71 = 6,603.71 : x
  2. Step 2: Convert to fraction form
    4,402.48/6,603.71 = 6,603.71/x
  3. Step 3: Cross multiply
    4,402.48x = 6,603.71 × 6,603.71
  4. Step 4: Simplify right side
    4,402.48x = 43,609,049.74
  5. Step 5: Solve for x
    x = 43,609,049.74/4,402.48
  6. Step 6: Final answer
    x = 9,905.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.