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Finding the Third Proportional to 7,339.36 and 8,132.91

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Solution

The third proportional to 7,339.36 and 8,132.91 is: 9,012.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,339.36 : 8,132.91 = 8,132.91 : x
  2. Step 2: Convert to fraction form
    7,339.36/8,132.91 = 8,132.91/x
  3. Step 3: Cross multiply
    7,339.36x = 8,132.91 × 8,132.91
  4. Step 4: Simplify right side
    7,339.36x = 66,144,164.07
  5. Step 5: Solve for x
    x = 66,144,164.07/7,339.36
  6. Step 6: Final answer
    x = 9,012.25

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.