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Finding the Third Proportional to 7,790.25 and 11,778

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Solution

The third proportional to 7,790.25 and 11,778 is: 17,807.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,790.25 : 11,778 = 11,778 : x
  2. Step 2: Convert to fraction form
    7,790.25/11,778 = 11,778/x
  3. Step 3: Cross multiply
    7,790.25x = 11,778 × 11,778
  4. Step 4: Simplify right side
    7,790.25x = 138,721,284
  5. Step 5: Solve for x
    x = 138,721,284/7,790.25
  6. Step 6: Final answer
    x = 17,807.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.