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Finding the Third Proportional to 16,479.56 and 25,538.63

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Solution

The third proportional to 16,479.56 and 25,538.63 is: 39,577.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,479.56 : 25,538.63 = 25,538.63 : x
  2. Step 2: Convert to fraction form
    16,479.56/25,538.63 = 25,538.63/x
  3. Step 3: Cross multiply
    16,479.56x = 25,538.63 × 25,538.63
  4. Step 4: Simplify right side
    16,479.56x = 652,221,366.89
  5. Step 5: Solve for x
    x = 652,221,366.89/16,479.56
  6. Step 6: Final answer
    x = 39,577.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.