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Finding the Third Proportional to 6,237 and 11,547.56

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Solution

The third proportional to 6,237 and 11,547.56 is: 21,379.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,237 : 11,547.56 = 11,547.56 : x
  2. Step 2: Convert to fraction form
    6,237/11,547.56 = 11,547.56/x
  3. Step 3: Cross multiply
    6,237x = 11,547.56 × 11,547.56
  4. Step 4: Simplify right side
    6,237x = 133,346,199.69
  5. Step 5: Solve for x
    x = 133,346,199.69/6,237
  6. Step 6: Final answer
    x = 21,379.86

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.