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Finding the Third Proportional to 48,596 and 79,352

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Solution

The third proportional to 48,596 and 79,352 is: 129,573.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,596 : 79,352 = 79,352 : x
  2. Step 2: Convert to fraction form
    48,596/79,352 = 79,352/x
  3. Step 3: Cross multiply
    48,596x = 79,352 × 79,352
  4. Step 4: Simplify right side
    48,596x = 6,296,739,904
  5. Step 5: Solve for x
    x = 6,296,739,904/48,596
  6. Step 6: Final answer
    x = 129,573.21

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.