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Finding the Third Proportional to 2,160.42 and 4,628.39

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Solution

The third proportional to 2,160.42 and 4,628.39 is: 9,915.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.42 : 4,628.39 = 4,628.39 : x
  2. Step 2: Convert to fraction form
    2,160.42/4,628.39 = 4,628.39/x
  3. Step 3: Cross multiply
    2,160.42x = 4,628.39 × 4,628.39
  4. Step 4: Simplify right side
    2,160.42x = 21,421,999.78
  5. Step 5: Solve for x
    x = 21,421,999.78/2,160.42
  6. Step 6: Final answer
    x = 9,915.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.