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Finding the Third Proportional to 957.94 and 2,095.31

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Solution

The third proportional to 957.94 and 2,095.31 is: 4,583.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.94 : 2,095.31 = 2,095.31 : x
  2. Step 2: Convert to fraction form
    957.94/2,095.31 = 2,095.31/x
  3. Step 3: Cross multiply
    957.94x = 2,095.31 × 2,095.31
  4. Step 4: Simplify right side
    957.94x = 4,390,334.47
  5. Step 5: Solve for x
    x = 4,390,334.47/957.94
  6. Step 6: Final answer
    x = 4,583.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.