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Finding the Third Proportional to 6,237 and 13,699.13

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Solution

The third proportional to 6,237 and 13,699.13 is: 30,089.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,237 : 13,699.13 = 13,699.13 : x
  2. Step 2: Convert to fraction form
    6,237/13,699.13 = 13,699.13/x
  3. Step 3: Cross multiply
    6,237x = 13,699.13 × 13,699.13
  4. Step 4: Simplify right side
    6,237x = 187,666,025.77
  5. Step 5: Solve for x
    x = 187,666,025.77/6,237
  6. Step 6: Final answer
    x = 30,089.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.