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Finding the Third Proportional to 36,428 and 55,700

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Solution

The third proportional to 36,428 and 55,700 is: 85,167.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,428 : 55,700 = 55,700 : x
  2. Step 2: Convert to fraction form
    36,428/55,700 = 55,700/x
  3. Step 3: Cross multiply
    36,428x = 55,700 × 55,700
  4. Step 4: Simplify right side
    36,428x = 3,102,490,000
  5. Step 5: Solve for x
    x = 3,102,490,000/36,428
  6. Step 6: Final answer
    x = 85,167.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.