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Finding the Third Proportional to 6,962.63 and 10,788.19

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Solution

The third proportional to 6,962.63 and 10,788.19 is: 16,715.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,962.63 : 10,788.19 = 10,788.19 : x
  2. Step 2: Convert to fraction form
    6,962.63/10,788.19 = 10,788.19/x
  3. Step 3: Cross multiply
    6,962.63x = 10,788.19 × 10,788.19
  4. Step 4: Simplify right side
    6,962.63x = 116,384,989.54
  5. Step 5: Solve for x
    x = 116,384,989.54/6,962.63
  6. Step 6: Final answer
    x = 16,715.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.