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Finding the Third Proportional to 6,939 and 10,404.28

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Solution

The third proportional to 6,939 and 10,404.28 is: 15,600.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,939 : 10,404.28 = 10,404.28 : x
  2. Step 2: Convert to fraction form
    6,939/10,404.28 = 10,404.28/x
  3. Step 3: Cross multiply
    6,939x = 10,404.28 × 10,404.28
  4. Step 4: Simplify right side
    6,939x = 108,249,068.33
  5. Step 5: Solve for x
    x = 108,249,068.33/6,939
  6. Step 6: Final answer
    x = 15,600.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.