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Finding the Third Proportional to 6,829.24 and 10,547.09

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Solution

The third proportional to 6,829.24 and 10,547.09 is: 16,288.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829.24 : 10,547.09 = 10,547.09 : x
  2. Step 2: Convert to fraction form
    6,829.24/10,547.09 = 10,547.09/x
  3. Step 3: Cross multiply
    6,829.24x = 10,547.09 × 10,547.09
  4. Step 4: Simplify right side
    6,829.24x = 111,241,021.77
  5. Step 5: Solve for x
    x = 111,241,021.77/6,829.24
  6. Step 6: Final answer
    x = 16,288.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.