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Finding the Third Proportional to 7,782 and 16,142.25

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Solution

The third proportional to 7,782 and 16,142.25 is: 33,483.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782 : 16,142.25 = 16,142.25 : x
  2. Step 2: Convert to fraction form
    7,782/16,142.25 = 16,142.25/x
  3. Step 3: Cross multiply
    7,782x = 16,142.25 × 16,142.25
  4. Step 4: Simplify right side
    7,782x = 260,572,235.06
  5. Step 5: Solve for x
    x = 260,572,235.06/7,782
  6. Step 6: Final answer
    x = 33,483.97

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.