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Finding the Third Proportional to 7,068.09 and 15,228.84

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Solution

The third proportional to 7,068.09 and 15,228.84 is: 32,811.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,068.09 : 15,228.84 = 15,228.84 : x
  2. Step 2: Convert to fraction form
    7,068.09/15,228.84 = 15,228.84/x
  3. Step 3: Cross multiply
    7,068.09x = 15,228.84 × 15,228.84
  4. Step 4: Simplify right side
    7,068.09x = 231,917,681.96
  5. Step 5: Solve for x
    x = 231,917,681.96/7,068.09
  6. Step 6: Final answer
    x = 32,811.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.