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Finding the Third Proportional to 25,307.44 and 55,381.36

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Solution

The third proportional to 25,307.44 and 55,381.36 is: 121,193.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,307.44 : 55,381.36 = 55,381.36 : x
  2. Step 2: Convert to fraction form
    25,307.44/55,381.36 = 55,381.36/x
  3. Step 3: Cross multiply
    25,307.44x = 55,381.36 × 55,381.36
  4. Step 4: Simplify right side
    25,307.44x = 3,067,094,966.22
  5. Step 5: Solve for x
    x = 3,067,094,966.22/25,307.44
  6. Step 6: Final answer
    x = 121,193.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.