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Finding the Third Proportional to 495.12 and 1,051.03

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Solution

The third proportional to 495.12 and 1,051.03 is: 2,231.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.12 : 1,051.03 = 1,051.03 : x
  2. Step 2: Convert to fraction form
    495.12/1,051.03 = 1,051.03/x
  3. Step 3: Cross multiply
    495.12x = 1,051.03 × 1,051.03
  4. Step 4: Simplify right side
    495.12x = 1,104,666.69
  5. Step 5: Solve for x
    x = 1,104,666.69/495.12
  6. Step 6: Final answer
    x = 2,231.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.