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Finding the Third Proportional to 6,534 and 16,237.13

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Solution

The third proportional to 6,534 and 16,237.13 is: 40,349.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534 : 16,237.13 = 16,237.13 : x
  2. Step 2: Convert to fraction form
    6,534/16,237.13 = 16,237.13/x
  3. Step 3: Cross multiply
    6,534x = 16,237.13 × 16,237.13
  4. Step 4: Simplify right side
    6,534x = 263,644,228.27
  5. Step 5: Solve for x
    x = 263,644,228.27/6,534
  6. Step 6: Final answer
    x = 40,349.59

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.