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Finding the Third Proportional to 6,575.34 and 14,244.19

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Solution

The third proportional to 6,575.34 and 14,244.19 is: 30,857.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.34 : 14,244.19 = 14,244.19 : x
  2. Step 2: Convert to fraction form
    6,575.34/14,244.19 = 14,244.19/x
  3. Step 3: Cross multiply
    6,575.34x = 14,244.19 × 14,244.19
  4. Step 4: Simplify right side
    6,575.34x = 202,896,877.54
  5. Step 5: Solve for x
    x = 202,896,877.54/6,575.34
  6. Step 6: Final answer
    x = 30,857.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.