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Finding the Third Proportional to 7,585.31 and 16,323.19

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Solution

The third proportional to 7,585.31 and 16,323.19 is: 35,126.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.31 : 16,323.19 = 16,323.19 : x
  2. Step 2: Convert to fraction form
    7,585.31/16,323.19 = 16,323.19/x
  3. Step 3: Cross multiply
    7,585.31x = 16,323.19 × 16,323.19
  4. Step 4: Simplify right side
    7,585.31x = 266,446,450.16
  5. Step 5: Solve for x
    x = 266,446,450.16/7,585.31
  6. Step 6: Final answer
    x = 35,126.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.