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Finding the Third Proportional to 37,207 and 55,894

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Solution

The third proportional to 37,207 and 55,894 is: 83,966.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,207 : 55,894 = 55,894 : x
  2. Step 2: Convert to fraction form
    37,207/55,894 = 55,894/x
  3. Step 3: Cross multiply
    37,207x = 55,894 × 55,894
  4. Step 4: Simplify right side
    37,207x = 3,124,139,236
  5. Step 5: Solve for x
    x = 3,124,139,236/37,207
  6. Step 6: Final answer
    x = 83,966.44

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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.