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Finding the Third Proportional to 6,851.25 and 9,957.94

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Solution

The third proportional to 6,851.25 and 9,957.94 is: 14,473.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.25 : 9,957.94 = 9,957.94 : x
  2. Step 2: Convert to fraction form
    6,851.25/9,957.94 = 9,957.94/x
  3. Step 3: Cross multiply
    6,851.25x = 9,957.94 × 9,957.94
  4. Step 4: Simplify right side
    6,851.25x = 99,160,519.25
  5. Step 5: Solve for x
    x = 99,160,519.25/6,851.25
  6. Step 6: Final answer
    x = 14,473.35

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.