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Finding the Third Proportional to 1,657.13 and 3,429.84

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Solution

The third proportional to 1,657.13 and 3,429.84 is: 7,098.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.13 : 3,429.84 = 3,429.84 : x
  2. Step 2: Convert to fraction form
    1,657.13/3,429.84 = 3,429.84/x
  3. Step 3: Cross multiply
    1,657.13x = 3,429.84 × 3,429.84
  4. Step 4: Simplify right side
    1,657.13x = 11,763,828.15
  5. Step 5: Solve for x
    x = 11,763,828.15/1,657.13
  6. Step 6: Final answer
    x = 7,098.94

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.