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Finding the Third Proportional to 4,330.50 and 9,253.31

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Solution

The third proportional to 4,330.50 and 9,253.31 is: 19,772.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,330.50 : 9,253.31 = 9,253.31 : x
  2. Step 2: Convert to fraction form
    4,330.50/9,253.31 = 9,253.31/x
  3. Step 3: Cross multiply
    4,330.50x = 9,253.31 × 9,253.31
  4. Step 4: Simplify right side
    4,330.50x = 85,623,792.22
  5. Step 5: Solve for x
    x = 85,623,792.22/4,330.50
  6. Step 6: Final answer
    x = 19,772.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.