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Finding the Third Proportional to 37,520 and 56,418

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Solution

The third proportional to 37,520 and 56,418 is: 84,834.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,520 : 56,418 = 56,418 : x
  2. Step 2: Convert to fraction form
    37,520/56,418 = 56,418/x
  3. Step 3: Cross multiply
    37,520x = 56,418 × 56,418
  4. Step 4: Simplify right side
    37,520x = 3,182,990,724
  5. Step 5: Solve for x
    x = 3,182,990,724/37,520
  6. Step 6: Final answer
    x = 84,834.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.