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Finding the Third Proportional to 7,797 and 12,325.50

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Solution

The third proportional to 7,797 and 12,325.50 is: 19,484.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797 : 12,325.50 = 12,325.50 : x
  2. Step 2: Convert to fraction form
    7,797/12,325.50 = 12,325.50/x
  3. Step 3: Cross multiply
    7,797x = 12,325.50 × 12,325.50
  4. Step 4: Simplify right side
    7,797x = 151,917,950.25
  5. Step 5: Solve for x
    x = 151,917,950.25/7,797
  6. Step 6: Final answer
    x = 19,484.15

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.