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Finding the Third Proportional to 25,449 and 55,415.63

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Solution

The third proportional to 25,449 and 55,415.63 is: 120,668.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,449 : 55,415.63 = 55,415.63 : x
  2. Step 2: Convert to fraction form
    25,449/55,415.63 = 55,415.63/x
  3. Step 3: Cross multiply
    25,449x = 55,415.63 × 55,415.63
  4. Step 4: Simplify right side
    25,449x = 3,070,891,494.14
  5. Step 5: Solve for x
    x = 3,070,891,494.14/25,449
  6. Step 6: Final answer
    x = 120,668.45

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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.