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Finding the Third Proportional to 1,507.12 and 2,304.11

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Solution

The third proportional to 1,507.12 and 2,304.11 is: 3,522.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.12 : 2,304.11 = 2,304.11 : x
  2. Step 2: Convert to fraction form
    1,507.12/2,304.11 = 2,304.11/x
  3. Step 3: Cross multiply
    1,507.12x = 2,304.11 × 2,304.11
  4. Step 4: Simplify right side
    1,507.12x = 5,308,922.26
  5. Step 5: Solve for x
    x = 5,308,922.26/1,507.12
  6. Step 6: Final answer
    x = 3,522.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.