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Finding the Third Proportional to 3,642.19 and 9,207.56

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Solution

The third proportional to 3,642.19 and 9,207.56 is: 23,277.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.19 : 9,207.56 = 9,207.56 : x
  2. Step 2: Convert to fraction form
    3,642.19/9,207.56 = 9,207.56/x
  3. Step 3: Cross multiply
    3,642.19x = 9,207.56 × 9,207.56
  4. Step 4: Simplify right side
    3,642.19x = 84,779,207.19
  5. Step 5: Solve for x
    x = 84,779,207.19/3,642.19
  6. Step 6: Final answer
    x = 23,277.00

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Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.