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Finding the Third Proportional to 946.69 and 2,143.13

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Solution

The third proportional to 946.69 and 2,143.13 is: 4,851.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.69 : 2,143.13 = 2,143.13 : x
  2. Step 2: Convert to fraction form
    946.69/2,143.13 = 2,143.13/x
  3. Step 3: Cross multiply
    946.69x = 2,143.13 × 2,143.13
  4. Step 4: Simplify right side
    946.69x = 4,592,984.77
  5. Step 5: Solve for x
    x = 4,592,984.77/946.69
  6. Step 6: Final answer
    x = 4,851.64

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.