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Finding the Third Proportional to 37,259 and 56,370

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Solution

The third proportional to 37,259 and 56,370 is: 85,283.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,259 : 56,370 = 56,370 : x
  2. Step 2: Convert to fraction form
    37,259/56,370 = 56,370/x
  3. Step 3: Cross multiply
    37,259x = 56,370 × 56,370
  4. Step 4: Simplify right side
    37,259x = 3,177,576,900
  5. Step 5: Solve for x
    x = 3,177,576,900/37,259
  6. Step 6: Final answer
    x = 85,283.47

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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.