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Finding the Third Proportional to 3,197.81 and 3,547.13

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Solution

The third proportional to 3,197.81 and 3,547.13 is: 3,934.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.81 : 3,547.13 = 3,547.13 : x
  2. Step 2: Convert to fraction form
    3,197.81/3,547.13 = 3,547.13/x
  3. Step 3: Cross multiply
    3,197.81x = 3,547.13 × 3,547.13
  4. Step 4: Simplify right side
    3,197.81x = 12,582,095.77
  5. Step 5: Solve for x
    x = 12,582,095.77/3,197.81
  6. Step 6: Final answer
    x = 3,934.59

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.