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Finding the Third Proportional to 6,904.69 and 14,424.19

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Solution

The third proportional to 6,904.69 and 14,424.19 is: 30,132.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.69 : 14,424.19 = 14,424.19 : x
  2. Step 2: Convert to fraction form
    6,904.69/14,424.19 = 14,424.19/x
  3. Step 3: Cross multiply
    6,904.69x = 14,424.19 × 14,424.19
  4. Step 4: Simplify right side
    6,904.69x = 208,057,185.04
  5. Step 5: Solve for x
    x = 208,057,185.04/6,904.69
  6. Step 6: Final answer
    x = 30,132.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.