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Finding the Third Proportional to 6,585.68 and 10,409.45

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Solution

The third proportional to 6,585.68 and 10,409.45 is: 16,453.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.68 : 10,409.45 = 10,409.45 : x
  2. Step 2: Convert to fraction form
    6,585.68/10,409.45 = 10,409.45/x
  3. Step 3: Cross multiply
    6,585.68x = 10,409.45 × 10,409.45
  4. Step 4: Simplify right side
    6,585.68x = 108,356,633.04
  5. Step 5: Solve for x
    x = 108,356,633.04/6,585.68
  6. Step 6: Final answer
    x = 16,453.37

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.