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Finding the Third Proportional to 37,210 and 56,689

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Solution

The third proportional to 37,210 and 56,689 is: 86,365.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,210 : 56,689 = 56,689 : x
  2. Step 2: Convert to fraction form
    37,210/56,689 = 56,689/x
  3. Step 3: Cross multiply
    37,210x = 56,689 × 56,689
  4. Step 4: Simplify right side
    37,210x = 3,213,642,721
  5. Step 5: Solve for x
    x = 3,213,642,721/37,210
  6. Step 6: Final answer
    x = 86,365.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.