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Finding the Third Proportional to 829.62 and 1,957.29

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Solution

The third proportional to 829.62 and 1,957.29 is: 4,617.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.62 : 1,957.29 = 1,957.29 : x
  2. Step 2: Convert to fraction form
    829.62/1,957.29 = 1,957.29/x
  3. Step 3: Cross multiply
    829.62x = 1,957.29 × 1,957.29
  4. Step 4: Simplify right side
    829.62x = 3,830,980.47
  5. Step 5: Solve for x
    x = 3,830,980.47/829.62
  6. Step 6: Final answer
    x = 4,617.77

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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.