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Finding the Third Proportional to 6,585.75 and 14,554.13

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Solution

The third proportional to 6,585.75 and 14,554.13 is: 32,163.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.75 : 14,554.13 = 14,554.13 : x
  2. Step 2: Convert to fraction form
    6,585.75/14,554.13 = 14,554.13/x
  3. Step 3: Cross multiply
    6,585.75x = 14,554.13 × 14,554.13
  4. Step 4: Simplify right side
    6,585.75x = 211,822,554.52
  5. Step 5: Solve for x
    x = 211,822,554.52/6,585.75
  6. Step 6: Final answer
    x = 32,163.77

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.