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Finding the Third Proportional to 3,529.17 and 5,161.08

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Solution

The third proportional to 3,529.17 and 5,161.08 is: 7,547.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,529.17 : 5,161.08 = 5,161.08 : x
  2. Step 2: Convert to fraction form
    3,529.17/5,161.08 = 5,161.08/x
  3. Step 3: Cross multiply
    3,529.17x = 5,161.08 × 5,161.08
  4. Step 4: Simplify right side
    3,529.17x = 26,636,727.41
  5. Step 5: Solve for x
    x = 26,636,727.41/3,529.17
  6. Step 6: Final answer
    x = 7,547.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.