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Finding the Third Proportional to 37,560 and 56,222

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Solution

The third proportional to 37,560 and 56,222 is: 84,156.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,560 : 56,222 = 56,222 : x
  2. Step 2: Convert to fraction form
    37,560/56,222 = 56,222/x
  3. Step 3: Cross multiply
    37,560x = 56,222 × 56,222
  4. Step 4: Simplify right side
    37,560x = 3,160,913,284
  5. Step 5: Solve for x
    x = 3,160,913,284/37,560
  6. Step 6: Final answer
    x = 84,156.37

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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.