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Finding the Third Proportional to 7,385.44 and 10,962.19

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Solution

The third proportional to 7,385.44 and 10,962.19 is: 16,271.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,385.44 : 10,962.19 = 10,962.19 : x
  2. Step 2: Convert to fraction form
    7,385.44/10,962.19 = 10,962.19/x
  3. Step 3: Cross multiply
    7,385.44x = 10,962.19 × 10,962.19
  4. Step 4: Simplify right side
    7,385.44x = 120,169,554.79
  5. Step 5: Solve for x
    x = 120,169,554.79/7,385.44
  6. Step 6: Final answer
    x = 16,271.15

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.