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Finding the Third Proportional to 2,175.19 and 5,133.94

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Solution

The third proportional to 2,175.19 and 5,133.94 is: 12,117.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.19 : 5,133.94 = 5,133.94 : x
  2. Step 2: Convert to fraction form
    2,175.19/5,133.94 = 5,133.94/x
  3. Step 3: Cross multiply
    2,175.19x = 5,133.94 × 5,133.94
  4. Step 4: Simplify right side
    2,175.19x = 26,357,314.25
  5. Step 5: Solve for x
    x = 26,357,314.25/2,175.19
  6. Step 6: Final answer
    x = 12,117.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.