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Finding the Third Proportional to 37,306 and 56,319

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Solution

The third proportional to 37,306 and 56,319 is: 85,021.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,306 : 56,319 = 56,319 : x
  2. Step 2: Convert to fraction form
    37,306/56,319 = 56,319/x
  3. Step 3: Cross multiply
    37,306x = 56,319 × 56,319
  4. Step 4: Simplify right side
    37,306x = 3,171,829,761
  5. Step 5: Solve for x
    x = 3,171,829,761/37,306
  6. Step 6: Final answer
    x = 85,021.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.