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Finding the Third Proportional to 11,782.65 and 25,643.14

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Solution

The third proportional to 11,782.65 and 25,643.14 is: 55,808.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.65 : 25,643.14 = 25,643.14 : x
  2. Step 2: Convert to fraction form
    11,782.65/25,643.14 = 25,643.14/x
  3. Step 3: Cross multiply
    11,782.65x = 25,643.14 × 25,643.14
  4. Step 4: Simplify right side
    11,782.65x = 657,570,861.45
  5. Step 5: Solve for x
    x = 657,570,861.45/11,782.65
  6. Step 6: Final answer
    x = 55,808.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.