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Finding the Third Proportional to 56,884 and 79,570

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Solution

The third proportional to 56,884 and 79,570 is: 111,303.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,884 : 79,570 = 79,570 : x
  2. Step 2: Convert to fraction form
    56,884/79,570 = 79,570/x
  3. Step 3: Cross multiply
    56,884x = 79,570 × 79,570
  4. Step 4: Simplify right side
    56,884x = 6,331,384,900
  5. Step 5: Solve for x
    x = 6,331,384,900/56,884
  6. Step 6: Final answer
    x = 111,303.44

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.