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Finding the Third Proportional to 1,507.36 and 4,051.27

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Solution

The third proportional to 1,507.36 and 4,051.27 is: 10,888.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.36 : 4,051.27 = 4,051.27 : x
  2. Step 2: Convert to fraction form
    1,507.36/4,051.27 = 4,051.27/x
  3. Step 3: Cross multiply
    1,507.36x = 4,051.27 × 4,051.27
  4. Step 4: Simplify right side
    1,507.36x = 16,412,753.16
  5. Step 5: Solve for x
    x = 16,412,753.16/1,507.36
  6. Step 6: Final answer
    x = 10,888.41

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.