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Finding the Third Proportional to 2,160 and 3,304.13

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Solution

The third proportional to 2,160 and 3,304.13 is: 5,054.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160 : 3,304.13 = 3,304.13 : x
  2. Step 2: Convert to fraction form
    2,160/3,304.13 = 3,304.13/x
  3. Step 3: Cross multiply
    2,160x = 3,304.13 × 3,304.13
  4. Step 4: Simplify right side
    2,160x = 10,917,242.02
  5. Step 5: Solve for x
    x = 10,917,242.02/2,160
  6. Step 6: Final answer
    x = 5,054.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.