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Finding the Third Proportional to 1,631.71 and 3,569.06

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Solution

The third proportional to 1,631.71 and 3,569.06 is: 7,806.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.71 : 3,569.06 = 3,569.06 : x
  2. Step 2: Convert to fraction form
    1,631.71/3,569.06 = 3,569.06/x
  3. Step 3: Cross multiply
    1,631.71x = 3,569.06 × 3,569.06
  4. Step 4: Simplify right side
    1,631.71x = 12,738,207.13
  5. Step 5: Solve for x
    x = 12,738,207.13/1,631.71
  6. Step 6: Final answer
    x = 7,806.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.